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Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings

In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasno...

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Main Authors: Kaabar, Mohammed K. A., Refice, Ahmed, Souid, Mohammed Said, Martinez, Francisco, Etemad, Sina, Siri, Zailan, Rezapour, Shahram
Format: Article
Published: MDPI 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/28709/
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spelling my.um.eprints.287092022-04-12T05:26:19Z http://eprints.um.edu.my/28709/ Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings Kaabar, Mohammed K. A. Refice, Ahmed Souid, Mohammed Said Martinez, Francisco Etemad, Sina Siri, Zailan Rezapour, Shahram QA Mathematics In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasnoselskii's fixed point theorem and in the sequel, and its Ulam-Hyers-Rassias (U-H-R) stability is checked. An illustrative example is presented at the end of this paper to validate our findings. MDPI 2021-07 Article PeerReviewed Kaabar, Mohammed K. A. and Refice, Ahmed and Souid, Mohammed Said and Martinez, Francisco and Etemad, Sina and Siri, Zailan and Rezapour, Shahram (2021) Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings. Mathematics, 9 (14). ISSN 2227-7390, DOI https://doi.org/10.3390/math9141693 <https://doi.org/10.3390/math9141693>. 10.3390/math9141693
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
Kaabar, Mohammed K. A.
Refice, Ahmed
Souid, Mohammed Said
Martinez, Francisco
Etemad, Sina
Siri, Zailan
Rezapour, Shahram
Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
description In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasnoselskii's fixed point theorem and in the sequel, and its Ulam-Hyers-Rassias (U-H-R) stability is checked. An illustrative example is presented at the end of this paper to validate our findings.
format Article
author Kaabar, Mohammed K. A.
Refice, Ahmed
Souid, Mohammed Said
Martinez, Francisco
Etemad, Sina
Siri, Zailan
Rezapour, Shahram
author_facet Kaabar, Mohammed K. A.
Refice, Ahmed
Souid, Mohammed Said
Martinez, Francisco
Etemad, Sina
Siri, Zailan
Rezapour, Shahram
author_sort Kaabar, Mohammed K. A.
title Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
title_short Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
title_full Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
title_fullStr Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
title_full_unstemmed Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings
title_sort existence and u-h-r stability of solutions to the implicit nonlinear fbvp in the variable order settings
publisher MDPI
publishDate 2021
url http://eprints.um.edu.my/28709/
_version_ 1735409571645620224
score 13.244413

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