Existence and Stability results of the solution for nonlinear fractional differential problem

The problem of existence and stability results for fractional problem is considered. Based on the Krasnoselskii's fixed point theorem, we prove our main results. Then we give an examples to illustrate our main results.

Bibliographic Details
Main Authors: Naimi Abdellouahab, Brahim Tellab, Khaled Zennir
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52043
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author Naimi Abdellouahab
Brahim Tellab
Khaled Zennir
author_facet Naimi Abdellouahab
Brahim Tellab
Khaled Zennir
author_sort Naimi Abdellouahab
collection DOAJ
description The problem of existence and stability results for fractional problem is considered. Based on the Krasnoselskii's fixed point theorem, we prove our main results. Then we give an examples to illustrate our main results.
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language English
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spelling doaj.art-ea0f4c31dca7449998d778bbb9efb08d2023-11-08T19:43:50ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.52043Existence and Stability results of the solution for nonlinear fractional differential problemNaimi Abdellouahab0Brahim Tellab1Khaled Zennir 2Kasdi Merbah UniversityKasdi Merbah UniversityAL-Ras Qassim University The problem of existence and stability results for fractional problem is considered. Based on the Krasnoselskii's fixed point theorem, we prove our main results. Then we give an examples to illustrate our main results. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52043
spellingShingle Naimi Abdellouahab
Brahim Tellab
Khaled Zennir
Existence and Stability results of the solution for nonlinear fractional differential problem
Boletim da Sociedade Paranaense de Matemática
title Existence and Stability results of the solution for nonlinear fractional differential problem
title_full Existence and Stability results of the solution for nonlinear fractional differential problem
title_fullStr Existence and Stability results of the solution for nonlinear fractional differential problem
title_full_unstemmed Existence and Stability results of the solution for nonlinear fractional differential problem
title_short Existence and Stability results of the solution for nonlinear fractional differential problem
title_sort existence and stability results of the solution for nonlinear fractional differential problem
url https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52043
work_keys_str_mv AT naimiabdellouahab existenceandstabilityresultsofthesolutionfornonlinearfractionaldifferentialproblem
AT brahimtellab existenceandstabilityresultsofthesolutionfornonlinearfractionaldifferentialproblem
AT khaledzennir existenceandstabilityresultsofthesolutionfornonlinearfractionaldifferentialproblem