Existence and stability analysis for nonlinear Ψ-Hilfer fractional differential equations with nonlocal integral boundary conditions

被引：0

作者：

Lachouri, Adel ^{[1
]}

Ardjouni, Abdelouaheb ^{[2
]}

Gouri, Nesrine ^{[3
]}

Khelil, Kamel Ali ^{[4
]}

机构：

[1] Univ Annaba, Dept Math, Appl Math Lab, POB 12, Annaba 23000, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

[3] Univ Annaba, Dept Math, Lab Math Modeling & Numer Simulat, POB 12, Annaba 23000, Algeria

[4] Univ 8 May 1945 Guelma, Lab Anal & Control Differential Equat, Guelma, Algeria

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 01期

关键词：

Psi-Hilfer fractional derivative; mild solution; Ulam-Hyers stability; fixed point; theorems; ULAM STABILITY; CALCULUS;

D O I：

10.22075/ijnaa.2021.24122.2674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and uniqueness of mild solutions for nonlinear fractional differential equations subject to nonlocal integral boundary conditions in the frame of a psi-Hilfer fractional derivative. Further, we discuss different kinds of stability of Ulam-Hyers for mild solutions to the given problem. Using the fixed point theorems together with generalized Gronwall inequality the desired outcomes are proven. The obtained results generalize many previous works that contain special cases of function psi. At the end, some pertinent examples demonstrating the effectiveness of the theoretical results are presented.

引用

页码：2617 / 2633

页数：17

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