EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS

被引：0

作者：

Saadi, Abdelkader ^{[1
]}

Houas, Mohamed ^{[2
]}

机构：

[1] Fac Exact Sci, Dept Math & Informat, POB 417, Bechar 08000, Algeria

[2] Fac Sci & Technol, Dept Math, Khemis Miliana 44125, Algeria

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2022年 / 37卷 / 01期

关键词：

differential equations; two fractional orders; stability of solutions; SYSTEM;

D O I：

10.22190/FUMI210216009S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study existence, uniqueness and Ulam-Hyers stability of solutions for integro-differential equations involving two fractional orders. By using Banach's fixed point theorem, we obtain some sufficient conditions for the existence and uniqueness of solution for the mentioned problem. Furthermore, we derive the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solution. At the end, an illustrative example is discussed.

引用

页码：89 / 102

页数：14

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