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Paper Citation Record · LEDGER

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:1908.05296.

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pith.paper-citation-record.v1
1908.05296 v1

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T13:23:47.051982Z

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measured 0 of 0 inbound itemization

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Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation b0fb7e76-3422-4d60-9256-c5f46e64e31a · outbound

This paper cites Sousa, J., Kucche, Kishor D., Capelas de Oliveira, E ., Stability of ψ-Hilfer impulsive fractional differential equations, Appl.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Kucche, Kishor D., Capelas de Oliveira, E ., Stability of ψ-Hilfer impulsive fractional differential equations, Appl

Reference 1

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

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Observation fb26ed8f-20f9-4f3f-847e-48f46dd30ff9 · outbound

This paper cites Sousa, J., Capelas de Oliveira, E., On the ψ-Hilfer fractional derivative, Commun.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Capelas de Oliveira, E., On the ψ-Hilfer fractional derivative, Commun

Reference 2

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Observation ffbdbbb9-13a0-44e9-a338-e30e77886ca6 · outbound

This paper cites Sousa, J., Capelas de Oliveira, E., Leibniz type rule: ψ-Hilfer fractional operator, Commun.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Capelas de Oliveira, E., Leibniz type rule: ψ-Hilfer fractional operator, Commun

Reference 3

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

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Observation aa103cd6-036a-4008-ab01-0241b4d881f0 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 4

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

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Observation 00466fc2-221b-4e0d-8d38-09a127c0bd73 · outbound

This paper cites Sousa, J., Capelas de Oliveira, E., On the Ψ-fractio nal integral and appli- cations, Comp.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Capelas de Oliveira, E., On the Ψ-fractio nal integral and appli- cations, Comp

Reference 5

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

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Observation ff671a22-c65c-4bd7-9a1f-cf466547e08f · outbound

This paper cites Existence of mild solutions to Hilfer fractional evolution equations in Banach space.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Existence of mild solutions to Hilfer fractional evolution equations in Banach space

Reference 6

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

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Observation 999fb413-1ea0-4647-a9b5-be70915f4a7c · outbound

This paper cites J., Existence of mild solution for evolution equatio n with Hilfer frac- tional derivative, Appl.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem J., Existence of mild solution for evolution equatio n with Hilfer frac- tional derivative, Appl

Reference 7

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

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Observation 0c333c60-e50e-4812-a535-c8fc8a8ff834 · outbound

This paper cites Sousa, J., Capelas de Oliveira, E., Ulam–Hyers stab ility of a nonlinear fractional Volterra integro-differential equation, Appl.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Capelas de Oliveira, E., Ulam–Hyers stab ility of a nonlinear fractional Volterra integro-differential equation, Appl

Reference 8

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

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Observation 6c4a2f6f-f8dc-4afe-ae82-0611d27eaa9d · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 9

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Observation 2aac5e3c-4008-463f-8779-8dc03bf1f687 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 10

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Observation 63c9fc51-6d42-4da7-ba8c-86fbbfaa560b · outbound

This paper cites Nonlinear Sci.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Nonlinear Sci

Reference 11

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

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Observation 95ee1a62-24e6-4ce5-980b-b0342a5d20cc · outbound

This paper cites Nonlinear Sci.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Nonlinear Sci

Reference 12

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Observation 267c4457-413f-4138-a2b3-e1fd46f04dbd · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 13

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Observation df50a480-360a-49dc-b5ff-483418c16e7f · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 14

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

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Observation 1e58297d-9412-44ee-9976-8d76ca2d5420 · outbound

This paper cites G., Kilbas, A.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem G., Kilbas, A

Reference 15

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

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Observation b0464e68-847e-43db-af33-d2003e9c7f13 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 16

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

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Observation 7004a7d3-7e67-4b1b-bcbf-3425a6dc392b · outbound

This paper cites Value Probl., 2019(1) (2019) 19.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Value Probl., 2019(1) (2019) 19

Reference 17

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Observation 3d9a2a66-6f21-4f06-b56e-e3d5382703f0 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 18

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Observation b27877d2-64ef-45a2-be9e-efff274f20b3 · outbound

This paper cites Sousa, J., Oliveira, D.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Sousa, J., Oliveira, D

Reference 19

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Observation 44d63b7a-445c-4c64-85d3-825622942909 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

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Observation d114129a-2d8b-4bbb-8e74-3084663c960a · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 21

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Observation 6e5aa843-e6e2-4f19-8345-2fb40df2b820 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

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Observation ebb97d2b-8a45-4c6b-9fcd-29be0b7a0514 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

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Observation dce761ca-da25-4d9e-a69d-7e6df7fb74c6 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 24

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Observation 4c77e018-e56e-4300-a0fa-d7fe68f11868 · outbound

This paper cites I., Existence and Uniqueness of Mittag-Leffler-Ulam S table Solution for Frac- tional Integrodifferential Equations with Nonlocal Initial Condition s, European J.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem I., Existence and Uniqueness of Mittag-Leffler-Ulam S table Solution for Frac- tional Integrodifferential Equations with Nonlocal Initial Condition s, European J

Reference 25

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

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Observation a70416b4-bc4b-4e6b-b945-d864292a6ad9 · outbound

This paper cites H., On the stability of the linear functional equation, P roceedings of the National Academy of Sciences of the United States of America, 2(4) (1941) 222.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem H., On the stability of the linear functional equation, P roceedings of the National Academy of Sciences of the United States of America, 2(4) (1941) 222

Reference 26

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

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Observation ba745f2a-7b54-4595-ad41-e14158060a7f · outbound

This paper cites M., Problems in modern mathematics, science editions, 19 64, John-Wiley & Sons Inc.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem M., Problems in modern mathematics, science editions, 19 64, John-Wiley & Sons Inc

Reference 27

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

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Observation 20ee5e25-2f5b-401b-8429-fa58349adc0d · outbound

This paper cites M., A collection of mathematical problems, 8 (1960).

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem M., A collection of mathematical problems, 8 (1960)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:47.173671Z

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Observation 323e79d2-3267-4162-9667-1481abf726f4 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 29

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

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Observation 90818db5-5749-46bd-9159-aebf4fe1e13c · outbound

This paper cites M., Homomorphisms and derivations in prope r JCQ-triples, J.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem M., Homomorphisms and derivations in prope r JCQ-triples, J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:23:47.151674Z

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.

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Observation 26331b68-568b-4f1b-969f-93ec974d336d · outbound

This paper cites M., On the stability of the linear mapping in Banach spac es, Proc.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem M., On the stability of the linear mapping in Banach spac es, Proc

Reference 31

Resolution
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raw_fallback, observed 2026-08-14T13:23:47.140199Z

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

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Observation 9882f74d-7143-43fc-8513-75adb194a73a · outbound

This paper cites M., Planas, G., Mild solutions to the time frac tional Navier-Stokes equations in RN , J.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem M., Planas, G., Mild solutions to the time frac tional Navier-Stokes equations in RN , J

Reference 32

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

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Observation 17a637fb-dc02-443f-9d2d-0aa26fb2cc59 · outbound

This paper cites an unresolved cited work.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem Unresolved cited work

Reference 33

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

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Observation 61b55128-b288-45cc-b0d6-682526e1eab7 · outbound

This paper cites On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $L^{N} \left( \mathbb{R} ^{N}\right) ^{N} $.

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $L^{N} \left( \mathbb{R} ^{N}\right) ^{N} $

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:23:47.089614Z

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

source=pdf_text observed=2026-08-14T13:23:47.051982Z digest=sha256:b1170d03f9f85ee696c2d63389eb10863d040f7546078c3a0562026c2d0eb545

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