Paper Citation Record · LEDGER

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics

As of 23 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.08588.

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

pith.paper-citation-record.v1
2607.08588 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-10T04:44:57.855123Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact22
verified fuzzy14
unresolved0
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malformed identifier3
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External citation measurements

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Outbound references

Observation f7b34160-b636-4357-8dc5-4188974306d3 · outbound

This paper cites Information Encoding/Decoding using the Memory Effect in Fractional-order Capacitive Devices.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Information Encoding/Decoding using the Memory Effect in Fractional-order Capacitive Devices

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-10T04:46:46.506659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b46ec6ae-d1e9-495c-99c6-eee56237e97c · outbound

This paper cites Special issue on application of fractional calculus: Mathematical modeling and control — part ii.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Special issue on application of fractional calculus: Mathematical modeling and control — part ii

Reference 2

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.808143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 384cdf8a-23c7-43c5-bf83-340d970534ee · outbound

This paper cites Algorithms for testing of fractional dynamics: a practical guide to arfima modelling.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Algorithms for testing of fractional dynamics: a practical guide to arfima modelling

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.940502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0a376ac3-b3e9-4b70-97b2-5e58800fe94f · outbound

This paper cites Inferring the fractional nature of wu baleanu trajectories.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Inferring the fractional nature of wu baleanu trajectories

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.942310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8b2fa4d0-fe39-478e-a3f1-ac8d88bb66c6 · outbound

This paper cites The Analysis of Fractional Differential Equations.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics The Analysis of Fractional Differential Equations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.938762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0e0e9bae-12ae-422d-a051-6ddce37c5c76 · outbound

This paper cites Measuring memory with the order of fractional derivative.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Measuring memory with the order of fractional derivative

Reference 6

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.779326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f0adac11-6ef0-4786-acbf-6e55b67f4c99 · outbound

This paper cites Recursive system identification of continuous-time fractional systems for all parameter estimation.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Recursive system identification of continuous-time fractional systems for all parameter estimation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.932920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 270c8ec4-bec5-4ca6-b318-24f3d08b1611 · outbound

This paper cites Modeling and parameter estimation for fractional large-scale interconnected hammerstein systems.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Modeling and parameter estimation for fractional large-scale interconnected hammerstein systems

Reference 8

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.811385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0bd6e8bb-b63e-4475-829b-125a615fc1ae · outbound

This paper cites Advanced materials modelling via fractional calculus: challenges and perspectives.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Advanced materials modelling via fractional calculus: challenges and perspectives

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:46:45.768104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 12967651-5f99-458c-b4a6-7b7f0adc75c8 · outbound

This paper cites Numerical methods for the caputo-type fractional derivative with an exponential kernel.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Numerical methods for the caputo-type fractional derivative with an exponential kernel

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.934653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 251689be-a55c-4993-aa5a-35a78f943108 · outbound

This paper cites The estimation and application of long memory time series models.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics The estimation and application of long memory time series models

Reference 11

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.806003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 75be8c03-9db3-4d4f-9576-86f0d5feb212 · outbound

This paper cites A., Hekker, S., Stello, D., Guti ´errez-Soto, J., Handberg, R., Huber, D., et al.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics A., Hekker, S., Stello, D., Guti ´errez-Soto, J., Handberg, R., Huber, D., et al

Reference 12

Resolution: malformed identifier; doi_truncated, observed 2026-07-10T04:46:45.766110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 25f376ec-3f23-42aa-88a8-24f83edde19a · outbound

This paper cites Long memory, fractional integration, and cross-sectional aggregation.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Long memory, fractional integration, and cross-sectional aggregation

Reference 13

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.819594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d4ef6b60-f7d9-4129-a4f9-21a1fab307ac · outbound

This paper cites A new approach to detect long memory by fractional integration or short memory by structural break.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics A new approach to detect long memory by fractional integration or short memory by structural break

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.936530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2d833e92-be1a-486e-a6f8-859cfd94f9ba · outbound

This paper cites Applications of fractional calculus in science and engineering 7, 4385–4394.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Applications of fractional calculus in science and engineering 7, 4385–4394

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.929059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8b9c4b6d-1327-40eb-9654-ec9739bb9575 · outbound

This paper cites Theory and Applications of Fractional Differential Equations.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Theory and Applications of Fractional Differential Equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.930789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f9cf7d52-c8e8-423c-8a0c-100b6c00a3a7 · outbound

This paper cites A perturbation robust test against spurious long memory.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics A perturbation robust test against spurious long memory

Reference 17

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.783311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 03158fe8-b81e-4494-8eb1-2a17bbf9a019 · outbound

This paper cites Determining lyapunov exponents of fractional-order systems: A general method based on memory principle.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Determining lyapunov exponents of fractional-order systems: A general method based on memory principle

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:46:45.824293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b118e1f3-9d95-4d15-b9aa-97d5f57249a6 · outbound

This paper cites Fractional order system identification with occupation kernel regression.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Fractional order system identification with occupation kernel regression

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-10T04:46:45.794191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c92f62e3-8be2-402f-b503-32f7edf5a7cf · outbound

This paper cites Mittag-leffler stability of fractional order nonlinear dynamic systems.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Mittag-leffler stability of fractional order nonlinear dynamic systems

Reference 20

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.794043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d20209f7-ef2d-4435-891a-8daa08d365f1 · outbound

This paper cites Stability of fractional-order nonlinear dynamic sys- tems: Lyapunov direct method and generalized mittag-leffler stability.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Stability of fractional-order nonlinear dynamic sys- tems: Lyapunov direct method and generalized mittag-leffler stability

Reference 21

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.817702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c3609900-865b-4780-826d-f963c8084ba6 · outbound

This paper cites Fractional Calculus—Theory and Applications.Axioms2022,11, 43.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Fractional Calculus—Theory and Applications.Axioms2022,11, 43

Reference 22

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.813383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fd1bf3da-bcf4-4f0b-af7b-2c45723eed9b · outbound

This paper cites A note on the equivalence of fractional relaxation equations to differ- ential equations with varying coefficients.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics A note on the equivalence of fractional relaxation equations to differ- ential equations with varying coefficients

Reference 23

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.799297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd6cf5c8-10fc-40e8-8c9f-09303a10bb29 · outbound

This paper cites Why the mittag-leffler function can be considered the queen function of the fractional calculus? Entropy 22.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Why the mittag-leffler function can be considered the queen function of the fractional calculus? Entropy 22

Reference 24

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.797114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a658c9ef-361f-49a8-b918-d356d9a3906c · outbound

This paper cites On mittag-leffler-type functions in fractional evolution processes.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics On mittag-leffler-type functions in fractional evolution processes

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-07-10T04:46:46.944257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9a4a579a-2582-4b3a-bf58-adf33c6122c7 · outbound

This paper cites From stretched exponential to inverse power-law: Fractional dynamics, cole-cole relaxation processes, and beyond.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics From stretched exponential to inverse power-law: Fractional dynamics, cole-cole relaxation processes, and beyond

Reference 26

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.780450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62d931ca-b9db-4ee5-9ee8-ba2cac7a41fe · outbound

This paper cites Testing for level shifts in fractionally integrated processes: A state space approach.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Testing for level shifts in fractionally integrated processes: A state space approach

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.923561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 63556293-5a70-4a81-8636-dfee63e7bfdb · outbound

This paper cites Chaos detection in generalizedψ-fractional differential systems.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Chaos detection in generalizedψ-fractional differential systems

Reference 28

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.801393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 12920632-e5e3-4962-a9f3-af51781b4382 · outbound

This paper cites Fractional Differential Equations.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Fractional Differential Equations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.927688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c93d540-92a4-45f4-b475-e66cfc869fc1 · outbound

This paper cites Identification of fractional systems using an output-error technique.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Identification of fractional systems using an output-error technique

Reference 30

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.815350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ae505db5-f73c-4016-952e-b8379fb11cbe · outbound

This paper cites Analysis of a fractional-order chaotic system in the context of the ca- puto fractional derivative via bifurcation and lyapunov exponents.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Analysis of a fractional-order chaotic system in the context of the ca- puto fractional derivative via bifurcation and lyapunov exponents

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.925251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a2648500-2aa5-467f-9cec-490cb688ceb5 · outbound

This paper cites On history of mathematical economics: Application of fractional calculus.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics On history of mathematical economics: Application of fractional calculus

Reference 32

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.775814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f9f9a7c4-cc53-404b-a582-5e2d5041d03d · outbound

This paper cites A comprehensive re- view of fractional calculus in modeling real-world phenomena.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics A comprehensive re- view of fractional calculus in modeling real-world phenomena

Reference 33

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.790521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 64e670ba-d663-41db-8e92-ef16cf9fff20 · outbound

This paper cites Velichko, M.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Velichko, M

Reference 34

Resolution: metadata mismatch; doi, observed 2026-07-10T04:46:45.778247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b56f5f7-1782-4494-9745-e904733fcc53 · outbound

This paper cites Robust multi-innovation full pa- rameter identification for separable fractional-order systems based on online measurements.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Robust multi-innovation full pa- rameter identification for separable fractional-order systems based on online measurements

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.919435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 741513c3-07fe-4287-b8d5-7f6411075ee7 · outbound

This paper cites Identifying climate memory impacts on climate network analysis: A new approach based on fractional integral techniques.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Identifying climate memory impacts on climate network analysis: A new approach based on fractional integral techniques

Reference 36

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.788401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1bdff236-837a-4019-b994-619f49d08655 · outbound

This paper cites Identification method for a fractional- ordersystemintermsofequivalentdynamicproperties.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Identification method for a fractional- ordersystemintermsofequivalentdynamicproperties

Reference 37

Resolution: verified exact; doi, observed 2026-07-10T04:46:45.803760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d67fecd0-6b1a-441f-a58d-5c6d9e7d070a · outbound

This paper cites Extracting climate memory using fractional integrated statistical model: A new perspective on climate prediction.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Extracting climate memory using fractional integrated statistical model: A new perspective on climate prediction

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.927075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 03bd0c9b-1406-4313-a632-ea6787ae0f5e · outbound

This paper cites Kavya, V.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Kavya, V

Reference 39

Resolution: malformed identifier; doi_truncated, observed 2026-07-10T04:46:45.773474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5367834c-1d3b-443e-a75c-351ba2336c4c · outbound

This paper cites Hierarchical estimation method for fractional-order systems based on the auxiliary model.

Mittag-Leffler-Type Forecast-Error Growth as a Diagnostic Indicator of Fractional Dynamics Hierarchical estimation method for fractional-order systems based on the auxiliary model

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:46:46.917391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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