Existence and uniqueness theorems for nonlinear coupled boundary value problem of the ABC fractional differential equation

被引：0

作者：

Janardhanan, Gopinath ^{[1
]}

Mani, Gunaseelan ^{[1
]}

Santina, Dania ^{[2
]}

Mlaiki, Nabil ^{[2
]}

机构：

[1] Saveetha Univ, Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2025年 / 37卷 / 03期

关键词：

ABC fractional differential equation; boundary value problem; existence and uniqueness; UH stability; generalized UH stability; fixed point theorem; KERNEL;

D O I：

10.22436/jmcs.037.03.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study existence and uniqueness of solutions for a new systems of nonlinear coupled boundary value problem of the ABC fractional differential equation. By applying the Banach's fixed point theorem and Krasnoselskii's fixed point theorem, the existence of solutions is obtained. Further, the provided problem Ulam-Hyers (UH) and generalized UlamHyers (GUH) stability are both investigated. The result obtained in this work are well illustrated with the aid of examples.

引用

页码：297 / 318

页数：22

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