$Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem$
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Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

Abstract In this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the existence and uniqueness of solution by means of the Schauder fixed point theorem. T...

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Autores principales:	Mohammad Esmael Samei, Ahmad Ahmadi, A. George Maria Selvam, Jehad Alzabut, Shahram Rezapour
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Fractional q-derivative equations Nonlinear analysis theorems Well-posedness Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/287958b78b32476e807cc7c7ecfc6e81
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spelling	oai:doaj.org-article:287958b78b32476e807cc7c7ecfc6e812021-11-07T12:13:11ZWell-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem10.1186/s13662-021-03631-21687-1847https://doaj.org/article/287958b78b32476e807cc7c7ecfc6e812021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03631-2https://doaj.org/toc/1687-1847Abstract In this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the existence and uniqueness of solution by means of the Schauder fixed point theorem. Then, the stability of solution will be discussed under the perturbations of boundary condition, a function existing in the problem, and the fractional order derivative. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings.Mohammad Esmael SameiAhmad AhmadiA. George Maria SelvamJehad AlzabutShahram RezapourSpringerOpenarticleFractional q-derivative equationsNonlinear analysis theoremsWell-posednessMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-26 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional q-derivative equations Nonlinear analysis theorems Well-posedness Mathematics QA1-939
spellingShingle	Fractional q-derivative equations Nonlinear analysis theorems Well-posedness Mathematics QA1-939 Mohammad Esmael Samei Ahmad Ahmadi A. George Maria Selvam Jehad Alzabut Shahram Rezapour Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
description	Abstract In this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the existence and uniqueness of solution by means of the Schauder fixed point theorem. Then, the stability of solution will be discussed under the perturbations of boundary condition, a function existing in the problem, and the fractional order derivative. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings.
format	article
author	Mohammad Esmael Samei Ahmad Ahmadi A. George Maria Selvam Jehad Alzabut Shahram Rezapour
author_facet	Mohammad Esmael Samei Ahmad Ahmadi A. George Maria Selvam Jehad Alzabut Shahram Rezapour
author_sort	Mohammad Esmael Samei
title	Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
title_short	Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
title_full	Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
title_fullStr	Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
title_full_unstemmed	Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem
title_sort	well-posed conditions on a class of fractional q-differential equations by using the schauder fixed point theorem
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/287958b78b32476e807cc7c7ecfc6e81
work_keys_str_mv	AT mohammadesmaelsamei wellposedconditionsonaclassoffractionalqdifferentialequationsbyusingtheschauderfixedpointtheorem AT ahmadahmadi wellposedconditionsonaclassoffractionalqdifferentialequationsbyusingtheschauderfixedpointtheorem AT ageorgemariaselvam wellposedconditionsonaclassoffractionalqdifferentialequationsbyusingtheschauderfixedpointtheorem AT jehadalzabut wellposedconditionsonaclassoffractionalqdifferentialequationsbyusingtheschauderfixedpointtheorem AT shahramrezapour wellposedconditionsonaclassoffractionalqdifferentialequationsbyusingtheschauderfixedpointtheorem
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Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

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