EXISTENCE OF SOLUTIONS AND ULAM STABILITY OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM

被引：0

作者：

Sompong, Jakgrit ^{[1
]}

Thailert, Ekkarath ^{[1
,2
]}

Ntouyas, Sotiris K. ^{[3
]}

Tshering, Ugyen Samdrup ^{[4
]}

机构：

[1] Naresuan Univ, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[4] Royal Univ Bhutan, Dept Math, Thimphu, Bhutan

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 03期

关键词：

Fractional differential equations; Hilfer-Hadamard fractional derivative; fixed point theory; Ulam-Hyers stability; Ulam-Hyers-Rassias stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of solutions for the boundary value problem of Hilfer-Hadamard sequential fractional differential equations via fixed point theorems. The existence of a solution is proved by the Krasnoselskii fixed point theorem, the Leray-Schauder alternative, and the Leray-Schauder nonlinear alternative fixed point theorem. Moreover, we prove the uniqueness of the solution using the Banach contraction principle. We also discuss the Ulam-Hyers, Ulam-Hyers-Rassias, generalized Ulam-Hyers and generalized Ulam-Hyers-Rassias stability for the problem. Illustrative examples are also provided.

引用

页码：1536 / 1562

页数：27

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