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Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations

We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example.

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Main Authors: Houas, Mohamed, Martinez, Francisco, Samei, Mohammad Esmael, Kaabar, Mohammed K. A.
Format: Article
Published: Springer 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/41860/
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spelling my.um.eprints.418602023-10-20T01:46:39Z http://eprints.um.edu.my/41860/ Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations Houas, Mohamed Martinez, Francisco Samei, Mohammad Esmael Kaabar, Mohammed K. A. QA Mathematics We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example. Springer 2022-07-18 Article PeerReviewed Houas, Mohamed and Martinez, Francisco and Samei, Mohammad Esmael and Kaabar, Mohammed K. A. (2022) Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations. Journal of Inequalities and Applications, 2022 (1). ISSN 1029-242X, DOI https://doi.org/10.1186/s13660-022-02828-7 <https://doi.org/10.1186/s13660-022-02828-7>. 10.1186/s13660-022-02828-7
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Houas, Mohamed
Martinez, Francisco
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
description We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach's contraction mapping principle. Further, we define and study the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of solutions. We also discuss an illustrative example.
format Article
author Houas, Mohamed
Martinez, Francisco
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
author_facet Houas, Mohamed
Martinez, Francisco
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
author_sort Houas, Mohamed
title Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
title_short Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
title_full Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
title_fullStr Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
title_full_unstemmed Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph q-differential equations
title_sort uniqueness and ulam-hyers-rassias stability results for sequential fractional pantograph q-differential equations
publisher Springer
publishDate 2022
url http://eprints.um.edu.my/41860/
_version_ 1781704565304852480
score 13.211869

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