Paper Citation Record · LEDGER

Scattered point measurement-based regularization for backward problems for fractional wave equations

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.17575.

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

pith.paper-citation-record.v1
2506.17575 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:16:41.848193Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

35 of 35 outbound references displayed

verified exact1
verified fuzzy22
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7026716d-6c13-4d0b-8c85-bcd955e9f0de · outbound

This paper cites Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems.SIAM Journal on Numerical Analysis, 60(2):751–780, 2022.

Scattered point measurement-based regularization for backward problems for fractional wave equations Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems.SIAM Journal on Numerical Analysis, 60(2):751–780, 2022

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.726740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d204f35-f426-4fff-9759-cf871449de48 · outbound

This paper cites Maniar, and M.

Scattered point measurement-based regularization for backward problems for fractional wave equations Maniar, and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.221958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2fa22745-ad0c-49a6-a893-a12e89413d18 · outbound

This paper cites Logarithmic con- vexity of non-symmetric time-fractional diffusion equations.Mathematical Methods in the Applied Sciences, 2022.

Scattered point measurement-based regularization for backward problems for fractional wave equations Logarithmic con- vexity of non-symmetric time-fractional diffusion equations.Mathematical Methods in the Applied Sciences, 2022

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.211990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2f8514f5-c225-40f5-aa56-9ea086b2d80f · outbound

This paper cites Numerical methods for the forward and backward problems of a time-space fractional diffusion equation.

Scattered point measurement-based regularization for backward problems for fractional wave equations Numerical methods for the forward and backward problems of a time-space fractional diffusion equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.201106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4e52efa7-4d0b-4d0c-af83-7939af362801 · outbound

This paper cites Backward problems in time for frac- tional diffusion-wave equation.Inverse Problems, 36(12):124003, 2020.

Scattered point measurement-based regularization for backward problems for fractional wave equations Backward problems in time for frac- tional diffusion-wave equation.Inverse Problems, 36(12):124003, 2020

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.189272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88214b24-b4f6-446d-94e4-0f8eef84bd2e · outbound

This paper cites Hatano and N.

Scattered point measurement-based regularization for backward problems for fractional wave equations Hatano and N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.743261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7d38832-eeb0-4828-9b63-b6c8039faa99 · outbound

This paper cites On a backward problem for nonlinear time fractional wave equations.Proceedings of the Royal Society of Edinburgh: Section A Mathe- matics, 152(6):1589–1612, 2022.

Scattered point measurement-based regularization for backward problems for fractional wave equations On a backward problem for nonlinear time fractional wave equations.Proceedings of the Royal Society of Edinburgh: Section A Mathe- matics, 152(6):1589–1612, 2022

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.167796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e57b2dba-a71d-42ed-9e77-5a97bbcc576d · outbound

This paper cites A regularized domain decomposition method with lagrange multiplier.

Scattered point measurement-based regularization for backward problems for fractional wave equations A regularized domain decomposition method with lagrange multiplier

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.157277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12229f53-b909-42a8-a7c3-9b6a47af1c37 · outbound

This paper cites A new variational approach for inverse source problems.Numerical Mathematics: Theory, Methods and Applications, 12(2):331– 347, 2019.

Scattered point measurement-based regularization for backward problems for fractional wave equations A new variational approach for inverse source problems.Numerical Mathematics: Theory, Methods and Applications, 12(2):331– 347, 2019

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.146252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3af1a7fa-99cc-419a-801b-e2cace10f9c5 · outbound

This paper cites Backward problem for a time-space fractional diffusion equation.Inverse Problems and Imaging, 12(3):773– 799, 2018.

Scattered point measurement-based regularization for backward problems for fractional wave equations Backward problem for a time-space fractional diffusion equation.Inverse Problems and Imaging, 12(3):773– 799, 2018

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.134697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34c65048-e10a-4e5f-9379-a79303e22db4 · outbound

This paper cites Stochastic Convergence Analysis of Inverse Potential Problem.

Scattered point measurement-based regularization for backward problems for fractional wave equations Stochastic Convergence Analysis of Inverse Potential Problem

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:16:41.883725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4402e382-7a86-4df6-abcc-0fe6c74a6681 · outbound

This paper cites Inverse problems for subdiffusion from observation at an unknown terminal time.SIAM Journal on Applied Mathematics, 83(4):1496–1517, 2023.

Scattered point measurement-based regularization for backward problems for fractional wave equations Inverse problems for subdiffusion from observation at an unknown terminal time.SIAM Journal on Applied Mathematics, 83(4):1496–1517, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.124204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94a89186-3613-44f0-afa8-1de6c8a294d3 · outbound

This paper cites Kilbas, Hari M.

Scattered point measurement-based regularization for backward problems for fractional wave equations Kilbas, Hari M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.113363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a90111c5-46fc-4e11-92c3-ffa58a8ac38a · outbound

This paper cites Kubica, K.

Scattered point measurement-based regularization for backward problems for fractional wave equations Kubica, K

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.103061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9c1ad23-f2b3-455b-ac45-062bbdae0eb2 · outbound

This paper cites De Gruyter, Berlin, Boston, 2019.

Scattered point measurement-based regularization for backward problems for fractional wave equations De Gruyter, Berlin, Boston, 2019

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.092547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 46caf647-edce-42fa-83d7-e75d08adb07f · outbound

This paper cites De Gruyter, Berlin, Boston, 2019.

Scattered point measurement-based regularization for backward problems for fractional wave equations De Gruyter, Berlin, Boston, 2019

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.081199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4e1c4d3f-c67f-4592-a48d-11af9bea9157 · outbound

This paper cites Liu and M.

Scattered point measurement-based regularization for backward problems for fractional wave equations Liu and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.071675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e757d8c-4b7d-4a33-be6a-02bbbeda36c4 · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:42.061464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 161d702c-ac2b-4978-9584-8d93365ae05c · outbound

This paper cites The random walk’s guide to anomalous diffusion: a fractional dynamics approach.Phys.

Scattered point measurement-based regularization for backward problems for fractional wave equations The random walk’s guide to anomalous diffusion: a fractional dynamics approach.Phys

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.050398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eb6a295e-3a7f-4575-8e29-c0e10c42ccaf · outbound

This paper cites Academic Press, Inc., San Diego, CA, 1999.

Scattered point measurement-based regularization for backward problems for fractional wave equations Academic Press, Inc., San Diego, CA, 1999

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.039457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9ae28701-abf7-4fa3-b9bf-ad754cb58445 · outbound

This paper cites Academic Press, 1999.

Scattered point measurement-based regularization for backward problems for fractional wave equations Academic Press, 1999

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.797175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c032c24c-e693-4500-8a61-12968c4d38e4 · outbound

This paper cites On the real zeros of functions of mittag-leffler type.Mathematical Notes, 77(3):546–556, 2005.

Scattered point measurement-based regularization for backward problems for fractional wave equations On the real zeros of functions of mittag-leffler type.Mathematical Notes, 77(3):546–556, 2005

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.020890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 48818489-3b78-4a4e-9264-798c32a79d87 · outbound

This paper cites Regularization by projection for a back- ward problem of the time-fractional diffusion equation.J.

Scattered point measurement-based regularization for backward problems for fractional wave equations Regularization by projection for a back- ward problem of the time-fractional diffusion equation.J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:42.009208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e041747b-96d5-4feb-aed1-1efb3e8ce7c4 · outbound

This paper cites Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems.

Scattered point measurement-based regularization for backward problems for fractional wave equations Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:41.997299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d2f9d02b-30bc-4cf4-ab1b-bfc0bde091f2 · outbound

This paper cites The backward problem for an inho- mogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder.

Scattered point measurement-based regularization for backward problems for fractional wave equations The backward problem for an inho- mogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:41.985563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 737e2ec8-f244-4473-af64-2638448bcb51 · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:41.974429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6d1ccc6-913a-429e-a063-2c2777c2387a · outbound

This paper cites A fully discrete difference scheme for a diffusion- wave system.Applied Numerical Mathematics, 56(2):193–209, 2006.

Scattered point measurement-based regularization for backward problems for fractional wave equations A fully discrete difference scheme for a diffusion- wave system.Applied Numerical Mathematics, 56(2):193–209, 2006

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.819959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b612f3c-8c5b-4bcb-bb08-6f321ffb48fa · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:41.957003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b2545c7-64f5-44b7-a33f-69cb8ebd230a · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.827233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9566670a-78d6-4127-a587-fda22438f380 · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:41.939205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2bea4de1-afd2-455b-8279-d756c9710eb2 · outbound

This paper cites Wang and J.

Scattered point measurement-based regularization for backward problems for fractional wave equations Wang and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:41.928328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69656bd4-562f-4049-95e2-7e980325883f · outbound

This paper cites Wei and Y.

Scattered point measurement-based regularization for backward problems for fractional wave equations Wei and Y

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.838267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48a6f2ae-b3a6-43ab-a4e3-69dd7c85cf20 · outbound

This paper cites Wen, Z.Y.

Scattered point measurement-based regularization for backward problems for fractional wave equations Wen, Z.Y

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:41.841643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b311e90-e78d-46e7-af5a-ca6451e648e6 · outbound

This paper cites an unresolved cited work.

Scattered point measurement-based regularization for backward problems for fractional wave equations Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:41.904338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54b3bb17-ac09-4c4f-8644-6864188eada9 · outbound

This paper cites Backward diffusion-wave problem: Stability, regular- ization, and approximation.SIAM Journal of Scientific Computing, 44(5):A3183– A3216, 2022.

Scattered point measurement-based regularization for backward problems for fractional wave equations Backward diffusion-wave problem: Stability, regular- ization, and approximation.SIAM Journal of Scientific Computing, 44(5):A3183– A3216, 2022

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:41.894785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.