Paper Citation Record · LEDGER

On backward problem for a time-fractional fourth order parabolic equation

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2405.09424.

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

pith.paper-citation-record.v1
2405.09424 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T01:21:36.951005Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy22
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a756625c-6302-4a23-a131-2e0b870a2c2a · outbound

This paper cites Cao, Determination of the space-dependent source term in a fourt h-order parabolic problem.

On backward problem for a time-fractional fourth order parabolic equation Cao, Determination of the space-dependent source term in a fourt h-order parabolic problem

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.028720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbef5812-3517-47d1-8bdf-dcaeeb75bb6c · outbound

This paper cites an unresolved cited work.

On backward problem for a time-fractional fourth order parabolic equation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:23:43.032701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ce82c18-8b56-42c1-b35f-321afbaf1204 · outbound

This paper cites Courant and D.

On backward problem for a time-fractional fourth order parabolic equation Courant and D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.030745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 528d25d4-5c5d-438a-ad49-d62f4bd9cbb9 · outbound

This paper cites an unresolved cited work.

On backward problem for a time-fractional fourth order parabolic equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:23:43.039761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e306d76-346c-4166-82fb-eb834f837585 · outbound

This paper cites Evans, Partial Diﬀerential Equations.

On backward problem for a time-fractional fourth order parabolic equation Evans, Partial Diﬀerential Equations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.037523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 287ce54f-d3e0-4089-96e5-cbcef144dc86 · outbound

This paper cites Gomain, Free Vibrations Analysis of Beams and Shafts.

On backward problem for a time-fractional fourth order parabolic equation Gomain, Free Vibrations Analysis of Beams and Shafts

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.035119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 96c32462-2f7e-430f-8ee5-87ce5680b1f4 · outbound

This paper cites Hamed and A.A.

On backward problem for a time-fractional fourth order parabolic equation Hamed and A.A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.026489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc04b587-f9f1-495b-a296-6bbf05365537 · outbound

This paper cites H´ ao, N.V.

On backward problem for a time-fractional fourth order parabolic equation H´ ao, N.V

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.081827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb415537-3d78-407d-9257-9869451bd62c · outbound

This paper cites H´ ao, J.

On backward problem for a time-fractional fourth order parabolic equation H´ ao, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.050637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f6bea95f-1dd7-4a70-a383-a3d0f19a0fe7 · outbound

This paper cites Hristov, Fourth-order fractional diﬀusion model of thermal grooving : integral approach to approximate closed form solution of the Mullins model.

On backward problem for a time-fractional fourth order parabolic equation Hristov, Fourth-order fractional diﬀusion model of thermal grooving : integral approach to approximate closed form solution of the Mullins model

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.044248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c329a780-545e-4649-8637-0b42049739dc · outbound

This paper cites Huntul, I.

On backward problem for a time-fractional fourth order parabolic equation Huntul, I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.046576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 237d8671-6f4f-402d-816f-fe9cac00fce0 · outbound

This paper cites an unresolved cited work.

On backward problem for a time-fractional fourth order parabolic equation Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:23:43.041807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c819899d-ca29-44fc-8b55-2cb40ab10043 · outbound

This paper cites Kokila and M.T.

On backward problem for a time-fractional fourth order parabolic equation Kokila and M.T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.052635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3010a4fd-0342-40b9-af70-12f1328308bf · outbound

This paper cites Liu and M.

On backward problem for a time-fractional fourth order parabolic equation Liu and M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.054832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7cbe7b7a-fc95-4ba1-833b-686e441fd823 · outbound

This paper cites Mondal, On backward fractional pseudo parabolic equation: regular ization by quasi-boundary value method, convergence rates.

On backward problem for a time-fractional fourth order parabolic equation Mondal, On backward fractional pseudo parabolic equation: regular ization by quasi-boundary value method, convergence rates

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.059176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3627f7f8-7086-446f-850d-da57396b6d1d · outbound

This paper cites Mondal, A ﬁnal value problem with a non-local and a source term: regul arization by truncation.

On backward problem for a time-fractional fourth order parabolic equation Mondal, A ﬁnal value problem with a non-local and a source term: regul arization by truncation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.070115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe51b8a3-981c-4e33-a263-32cf8260d836 · outbound

This paper cites Mondal and M.T.

On backward problem for a time-fractional fourth order parabolic equation Mondal and M.T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.072796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9c14265a-b32a-40ea-b6a1-8a53a69c1a6c · outbound

This paper cites Mullins, Theory of thermal grooving.

On backward problem for a time-fractional fourth order parabolic equation Mullins, Theory of thermal grooving

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.075237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dc66822d-5307-4ba5-9c5a-af1a063b057a · outbound

This paper cites Nair, Linear Operator Equations: Approximation and Regularizat ion.

On backward problem for a time-fractional fourth order parabolic equation Nair, Linear Operator Equations: Approximation and Regularizat ion

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.077522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dd6df966-3098-40d4-92db-3d3cc321181d · outbound

This paper cites Podlubny, Fractional Diﬀerential Equations.

On backward problem for a time-fractional fourth order parabolic equation Podlubny, Fractional Diﬀerential Equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.063305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52380615-f026-468b-8143-18660a098c3d · outbound

This paper cites Sakamoto and M.

On backward problem for a time-fractional fourth order parabolic equation Sakamoto and M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.067850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9ce24e1d-1716-4330-9c42-f94ab804f849 · outbound

This paper cites Schock, On the asymptotic order of accuracy of Tikhonov regularizat ion.

On backward problem for a time-fractional fourth order parabolic equation Schock, On the asymptotic order of accuracy of Tikhonov regularizat ion

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.079809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1f4dd92e-605d-4f45-b8e5-048320ee0fbc · outbound

This paper cites Tuan, D.l.

On backward problem for a time-fractional fourth order parabolic equation Tuan, D.l

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.056979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 64699ab5-b4aa-45c5-a8a9-d664d629f39c · outbound

This paper cites Wei and J.G.

On backward problem for a time-fractional fourth order parabolic equation Wei and J.G

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.061325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f59c9251-2b11-49e4-aaa1-aa5772f4f50c · outbound

This paper cites You and M.

On backward problem for a time-fractional fourth order parabolic equation You and M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:23:43.065611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.