Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations

被引：20

作者：

Almalahi, Mohammed A. ^{[1
,2
]}

Panchal, Satish K. ^{[1
]}

Jarad, Fahd ^{[3
,4
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431001, Maharashtra, India

[2] Hajjah Univ, Dept Math, Hajjah, Yemen

[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 147卷

关键词：

psi-Hilfer FDEs; Boundary conditions; Control functions; Lower and upper solutions; Fixed point theorem; HYERS-RASSIAS STABILITY; COUPLED SYSTEM; EXISTENCE; DERIVATIVES;

D O I：

10.1016/j.chaos.2021.110931

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of psi-Hilfer fractional differential equations. The gained results are obtained by building the upper and lower control functions of the nonlinear expression with the help of fixed point theorems such as Banach and Schauder. Furthermore, we establish various kinds of Ulam stability results by applying the techniques of nonlinear functional analysis. A pertinent example is provided to corroboration of the results obtained. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：14

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