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

被引：0

作者：

Mohammad Esmael Samei

Ahmad Ahmadi

A. George Maria Selvam

Jehad Alzabut

Shahram Rezapour

机构：

[1] Bu-Ali Sina University,Department of Mathematics

[2] Sacred Heart College (Autonomous),Department of Mathematics

[3] Prince Sultan University,Department of Mathematics and General Sciences

[4] OSTİM Technical University,Department of Industrial Engineering

[5] Azarbaijan Shahid Madani University,Department of Mathematics

[6] China Medical University,Department of Medical Research, China Medical University Hospital

来源：

Advances in Difference Equations | / 2021卷

关键词：

Fractional ; -derivative equations; Nonlinear analysis theorems; Well-posedness; 34A08; 34B16; 34B18;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

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