Paper Citation Record · LEDGER

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia

As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2506.07926.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.07926 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:27:21.933200Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:27:21.747351Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:27:22.245705Z

Reference resolution

57 of 57 outbound references displayed

verified exact10
verified fuzzy31
unresolved13
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b15f8ce-6433-498c-9f3e-e56c4cb49e94 · outbound

This paper cites FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T05:27:22.249717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e545dbef-4c44-43e6-b8fe-4640e0d8fd7f · outbound

This paper cites an unresolved cited work.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:27:22.581417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9193f98e-5f5f-4d50-bd2e-e311efe72b58 · outbound

This paper cites define the problem then solve the problem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia define the problem then solve the problem

Reference 3

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T05:27:22.571556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cec6326e-8ec4-4dde-8f00-4f3c80135897 · outbound

This paper cites an unresolved cited work.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:27:22.553065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 30528715-4250-48e6-ae4f-8139fbe6a21f · outbound

This paper cites In this work, we present a high performance package for numerically solve frac- tional differential equations within the Julia language and SciML ecosystem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia In this work, we present a high performance package for numerically solve frac- tional differential equations within the Julia language and SciML ecosystem

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.544236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f137b820-ec5e-4a94-bd1c-acfe5cdae169 · outbound

This paper cites define problem-solve problem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia define problem-solve problem

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.534964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 70205b6c-3cb9-4e7e-b653-15cb65f57bf5 · outbound

This paper cites Algorithm xxxx: Fdesolver, a julia package for solving fractional differential equations.ACM Trans.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Algorithm xxxx: Fdesolver, a julia package for solving fractional differential equations.ACM Trans

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.063096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ea5e829-9288-460d-b24e-05261257607c · outbound

This paper cites Julia: A fresh approach to numerical computing.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Julia: A fresh approach to numerical computing

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.773110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca558444-a48d-4fb9-b9df-93ba3b33f253 · outbound

This paper cites Differentialequations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Differentialequations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.519915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db48d1a6-32d6-46c2-bc6f-849e4f28bc7c · outbound

This paper cites A review and evaluation of numerical tools for fractional calculus and fractional order controls.International journal of control, 90(6):1165–1181, 2017.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A review and evaluation of numerical tools for fractional calculus and fractional order controls.International journal of control, 90(6):1165–1181, 2017

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.778922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dea03139-0cbf-49d6-8e44-173dfb724504 · outbound

This paper cites Numerical solution of fractional differential equations: A survey and a software tutorial.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical solution of fractional differential equations: A survey and a software tutorial

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.782968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e045fc3-19d7-4ad3-a7dc-b240c34eff2e · outbound

This paper cites On initial conditions for fractional delay differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia On initial conditions for fractional delay differential equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.511408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2ca80763-7b84-48a8-b07b-112f9387f5b6 · outbound

This paper cites Matrix approach to discrete fractional calculus.Fractional calculus and applied analysis, 3(4):359–386, 2000.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Matrix approach to discrete fractional calculus.Fractional calculus and applied analysis, 3(4):359–386, 2000

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.502632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0f94c10-5061-40e9-aa6f-cff19a729e4e · outbound

This paper cites Elsevier, 1974.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Elsevier, 1974

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.449758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0614f25-f68a-4b43-8114-0daa6a57c483 · outbound

This paper cites alexfikl/pycaputo: v0.8.1, October 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia alexfikl/pycaputo: v0.8.1, October 2024

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.053623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 091bceb2-40d4-4cfc-8849-8a6c323de341 · outbound

This paper cites A novel adaptive procedure for solving fractional differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A novel adaptive procedure for solving fractional differential equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.494188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fbdcb48a-ae08-4b58-a188-2696a78bf93e · outbound

This paper cites Fotf toolbox for fractional-order control systems.Applications in control, 6:237–266, 2019.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fotf toolbox for fractional-order control systems.Applications in control, 6:237–266, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.484856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca3f2338-76e8-416a-9bae-ac974b3ccc5c · outbound

This paper cites Springer Nature, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer Nature, 2024

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.475902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d6e6493-0e8a-4be5-ac06-70f6037428a0 · outbound

This paper cites Numerical evaluation of two and three parameter mittag-leffler functions.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical evaluation of two and three parameter mittag-leffler functions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.467389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e7deb120-44f1-4a8d-a47c-b166e6b378bd · outbound

This paper cites elsevier, 1998.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia elsevier, 1998

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.458136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f176afe2-d5fa-4adc-9b03-0bec9f679ee8 · outbound

This paper cites Discretized fractional calculus.SIAM Journal on Mathematical Analysis, 17(3):704–719, 1986.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Discretized fractional calculus.SIAM Journal on Mathematical Analysis, 17(3):704–719, 1986

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.406737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e5f2b1f4-f509-4e41-afe4-92e7c3f889c1 · outbound

This paper cites Handbook of fractional calculus for engineering and science.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Handbook of fractional calculus for engineering and science

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.045217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation beac14d9-0c39-49df-9cd0-3a9aaa55ba7a · outbound

This paper cites World Scientific, 2012.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia World Scientific, 2012

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.441265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79629e3e-7e53-4a53-ad80-c2b215a16ee8 · outbound

This paper cites Springer, 1997.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer, 1997

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.432810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c565707b-c5ab-4af7-9d6f-7dafcb67daa5 · outbound

This paper cites CRC Press, 2015.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia CRC Press, 2015

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.423997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bdfa3d59-12f4-4ceb-8c2b-a869c0ff17b3 · outbound

This paper cites Numerical treatment of differential equations of fractional order.Numerical Analysis Report-University of Manchester Department of Mathematics, 1996.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical treatment of differential equations of fractional order.Numerical Analysis Report-University of Manchester Department of Mathematics, 1996

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.415580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b95def75-918e-42e4-a577-626b1bb62f9e · outbound

This paper cites WORLD SCIENTIFIC, 2nd edition, 2016.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia WORLD SCIENTIFIC, 2nd edition, 2016

Reference 27

Resolution: malformed identifier; doi_truncated, observed 2026-08-07T05:27:22.035813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f82dc43-d464-4fc8-bc22-d3093f5db549 · outbound

This paper cites Numerical solution of the bagley-torvik equation.BIT numerical mathematics, 42:490–507, 2002.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical solution of the bagley-torvik equation.BIT numerical mathematics, 42:490–507, 2002

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.006571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8348ab75-466c-4617-9065-7f7d9fed3973 · outbound

This paper cites Trapezoidal methods for fractional differential equations: Theoretical and computational aspects.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.398070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 859567c9-dd1e-42b3-af85-7737333138ef · outbound

This paper cites Approximate product-integration.Proceedings of the Royal Society of London.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Approximate product-integration.Proceedings of the Royal Society of London

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.388493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 82121d72-db47-41a4-a8bb-d86166eac59d · outbound

This paper cites It is important to note that variations in software versions or hardware configurations may lead to discrepancies in performance outcomes.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia It is important to note that variations in software versions or hardware configurations may lead to discrepancies in performance outcomes

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.562293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 21038e89-6268-4b17-b847-1da50eaa044f · outbound

This paper cites A predictor-corrector approach for the numerical solution of fractional differential equations.Nonlinear Dynamics, 29:3–22, 2002.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A predictor-corrector approach for the numerical solution of fractional differential equations.Nonlinear Dynamics, 29:3–22, 2002

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.379402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0dad20fa-5326-45fe-a452-803842107310 · outbound

This paper cites Fractional-order nonlinear systems: modeling, analysis and simulation.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fractional-order nonlinear systems: modeling, analysis and simulation

Reference 33

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.026025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 55b0029e-fb98-486c-9d51-a4e1a0f4d4eb · outbound

This paper cites Westerlund and L.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Westerlund and L

Reference 34

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.015814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d4518f0d-7072-4682-8db0-f65f0657ceb4 · outbound

This paper cites Dead matter has memory!Physica scripta, 43(2):174, 1991.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Dead matter has memory!Physica scripta, 43(2):174, 1991

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.370420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1894e1e3-faa9-48ce-8e74-4ec2966ff84a · outbound

This paper cites Benchmark problems for caputo fractional-order ordinary differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Benchmark problems for caputo fractional-order ordinary differential equations

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T05:27:21.997149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cc346078-27f2-4c81-8051-f30fdda3cb0a · outbound

This paper cites Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions.SIAM Journal on Scientific Computing, 38(5):A3070–A3093, 2016.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions.SIAM Journal on Scientific Computing, 38(5):A3070–A3093, 2016

Reference 37

Resolution: verified exact; doi, observed 2026-08-07T05:27:21.987677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ce8aa7c3-803e-4933-b6ad-69da649d426b · outbound

This paper cites Benchmarktools.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Benchmarktools

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.361619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 324c90d5-041e-46fe-baca-5e27ed86a645 · outbound

This paper cites A singular integral equation with a generalized mittag leffler function in the kernel.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A singular integral equation with a generalized mittag leffler function in the kernel

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.352158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 006ec137-23c5-4bae-a078-6314c09213bd · outbound

This paper cites Fractional calculus as a generalized kinetic model for biochemical methane potential tests.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fractional calculus as a generalized kinetic model for biochemical methane potential tests

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.342117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d6ac4233-253a-4038-a927-68979ddb5326 · outbound

This paper cites A brief review of fractional calculus as a tool for applications in physics: Adsorption phenomena and electrical impedance in complex fluids.Fractal and Fractional, 8(7):369, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A brief review of fractional calculus as a tool for applications in physics: Adsorption phenomena and electrical impedance in complex fluids.Fractal and Fractional, 8(7):369, 2024

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.332510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 96dcbcaa-20da-4a1c-bce8-afdd46e254d2 · outbound

This paper cites A fractional calculus approach to the dynamic optimization of biological reactive systems.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A fractional calculus approach to the dynamic optimization of biological reactive systems

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.323215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a5807aac-8033-498f-b59e-4cfc4a20dfc9 · outbound

This paper cites Growth kinetics of suspended microbial cells: from single-substrate-controlled growth to mixed-substrate kinetics.Microbiology and molecular biology reviews, 62(3):646–666, 1998.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Growth kinetics of suspended microbial cells: from single-substrate-controlled growth to mixed-substrate kinetics.Microbiology and molecular biology reviews, 62(3):646–666, 1998

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.313416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0562a532-89e3-4dcd-83bf-7eaaedd7e0c5 · outbound

This paper cites Unstructured kinetic model for tequila batch fermentation.Int J Math Comput Simul, 1(1), 2007.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unstructured kinetic model for tequila batch fermentation.Int J Math Comput Simul, 1(1), 2007

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.303812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a342bfc3-0cdf-4588-bfbe-7f8bfcea4985 · outbound

This paper cites Optim: A mathematical optimization package for Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Optim: A mathematical optimization package for Julia

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.893696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92d63fa9-2132-4839-94ce-04360f36861a · outbound

This paper cites Springer, 1999.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer, 1999

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.896552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aa5017a-71a5-4f07-8e69-a05ce95fb02c · outbound

This paper cites Juliastats/statsbase.jl: v0.34.4, December.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Juliastats/statsbase.jl: v0.34.4, December

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.288550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db5b954d-d0b1-4574-83ce-f9f36d5892ab · outbound

This paper cites Automated translation and accelerated solving of differential equations on multiple gpu platforms.Computer Methods in Applied Mechanics and Engineering, 419:116591, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Automated translation and accelerated solving of differential equations on multiple gpu platforms.Computer Methods in Applied Mechanics and Engineering, 419:116591, 2024

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.930069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3ecd192-34c7-4734-876a-6d75540f1537 · outbound

This paper cites Stability analysis of multi-term fractional-differential equations with three fractional derivatives.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Stability analysis of multi-term fractional-differential equations with three fractional derivatives

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.279662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 47198a3e-4e2e-4c0c-83dc-b8356184b490 · outbound

This paper cites ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.909571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 055ec1cc-8fd0-4c7f-a34a-5e5a5fee5aa1 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Universal Differential Equations for Scientific Machine Learning

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.913277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bade74c8-752b-4f96-925b-eee984b6f58a · outbound

This paper cites Shah, Krishna Bhogaonker, Anubhab Haldar, Morten Piibeleht, Francesco Martinuzzi, Kanav Gupta, and Jeffrey Sarnoff.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Shah, Krishna Bhogaonker, Anubhab Haldar, Morten Piibeleht, Francesco Martinuzzi, Kanav Gupta, and Jeffrey Sarnoff

Reference 52

Resolution: verified exact; doi, observed 2026-08-07T05:27:22.268530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aaac7ec2-8b8f-49c7-9b59-eb5547873914 · outbound

This paper cites DiffEqFlux.jl - A Julia Library for Neural Differential Equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia DiffEqFlux.jl - A Julia Library for Neural Differential Equations

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.919818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89267ae5-40f5-4914-9c4b-8290fefe07b5 · outbound

This paper cites NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.923391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcabd711-27ce-4437-a54a-e454d0e5e73c · outbound

This paper cites NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T05:27:21.926684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b9c85df-5a8a-4c16-a3da-69176dd0e1d7 · outbound

This paper cites Effective extensible programming: unleashing julia on gpus.IEEE Transactions on Parallel and Distributed Systems, 30(4):827–841, 2018.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Effective extensible programming: unleashing julia on gpus.IEEE Transactions on Parallel and Distributed Systems, 30(4):827–841, 2018

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:27:22.259167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 82bcc9b4-8af8-4d03-ac7c-f88e2d6d64f0 · outbound

This paper cites an unresolved cited work.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 2024

Resolution: verified exact; doi, observed 2026-08-07T05:27:21.971388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 5b15f8ce-6433-498c-9f3e-e56c4cb49e94 · inbound