Paper Citation Record · LEDGER

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.07386.

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

pith.paper-citation-record.v1
1908.07386 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:44:30.844564Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

22 of 22 outbound references displayed

verified exact2
verified fuzzy13
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93c68978-835d-4fbe-b7b1-fad44f3977a2 · outbound

This paper cites Kim, Regulation of cell proliferation and migration in glioblastoma: new therapeutic approach, Front.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Kim, Regulation of cell proliferation and migration in glioblastoma: new therapeutic approach, Front

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.153954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation abd0a93d-fd11-45db-a412-79da509c1727 · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:44:30.769833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3be6007a-81f0-4791-a7f3-43d35ced6164 · outbound

This paper cites Duman, N.S.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Duman, N.S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.142600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 290969e1-54f4-4ed0-80e1-132f206e1607 · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:44:31.132190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2ea462d0-e763-4a4d-8851-33d4da725a10 · outbound

This paper cites Zhao, A parabolic-hyperbolic free boundary problem mo deling tumor growth with drug application, Electron.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Zhao, A parabolic-hyperbolic free boundary problem mo deling tumor growth with drug application, Electron

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.121550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fd3da600-3cfa-4e46-8f3b-c71323c9c0ac · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:44:31.110812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 04c494f2-7c59-4cff-a25c-df3727bea7a3 · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:44:31.100261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a7f2a388-953f-40fa-8cd9-c31fadb81423 · outbound

This paper cites Khaitan, S.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Khaitan, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.089590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 10dad90a-8e87-4866-8307-9ec2b07c82a3 · outbound

This paper cites Tao, A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids, J.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Tao, A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.077702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d09ecd7-3ac3-42f4-b346-1212a7de66f8 · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T12:44:30.799422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55551615-1a3e-4c0b-b7a1-398e5bb7cf1f · outbound

This paper cites Abernathy, Z.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Abernathy, Z

Reference 11

Resolution: verified exact; doi, observed 2026-08-14T12:44:30.888836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c6cf008-2755-4279-bd01-8e434d1f128e · outbound

This paper cites Enderling, M.A.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Enderling, M.A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.065727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c66a2f2-a92c-404f-bb35-c53b07e213ad · outbound

This paper cites Ansarizadeh, M.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Ansarizadeh, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.055401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1a5e1e47-b1f5-4e98-95d9-bdf531708e95 · outbound

This paper cites Ates and P.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Ates and P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.044890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 68da96b9-3b7e-4712-934d-395675f0c4d8 · outbound

This paper cites Sohail, S.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Sohail, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.034209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f87816d0-3912-4bec-b497-dc5ff63914ac · outbound

This paper cites Veeresha, D.G.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Veeresha, D.G

Reference 16

Resolution: verified exact; doi, observed 2026-08-14T12:44:30.876223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 11e44f5b-4379-4a9f-b0a3-39015020920f · outbound

This paper cites Quarteroni, A.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Quarteroni, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.021164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 02918657-9bad-420a-8fbd-4ec4eff822df · outbound

This paper cites Canuto, M.Y.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Canuto, M.Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:31.008542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f603a937-e33c-4a98-b6cd-44428dd61427 · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:44:30.997297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f661b9f6-3516-4376-83b8-6f8a526f4daa · outbound

This paper cites an unresolved cited work.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:44:30.985443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 41db70fc-8226-4a5d-9406-c50880aa8505 · outbound

This paper cites Lin, C.J.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Lin, C.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:30.974287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 77248281-a77b-437e-b2ab-a865a37c8ee7 · outbound

This paper cites Huang, Z.

Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method Huang, Z

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:44:30.962372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.