Analysis on a nonlinear fractional differential equations in a bounded domain [1,T]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[1,\mathcal {T}]$$\end{document}

被引：0

作者：

Muath Awadalla

K. Buvaneswari

P. Karthikeyan

Mohamed Hannabou

K. Karthikeyan

Feryal AlAdsani

Jihan Alahmadi

机构：

[1] King Faisal University,Department of Mathematics and Statistics, College of Science

[2] Sona College of Technology,Department of Mathematics

[3] Sri Vasavi College,Department of Mathematics

[4] Sultan Moulay Slimane University,Department of Mathematics and Computer Sciences

[5] Multidisciplinary faculty,Department of Mathematics

[6] KPR Institute of Engineering and Technology,Department of Mathematics, College of Science and Humanities in Al

[7] Prince Sattam Bin Abdulaziz University,Kharj

来源：

Journal of Applied Mathematics and Computing | 2024年 / 70卷 / 2期

关键词：

Existence; Fractional derivative; Caputo–Hadamard fractional derivative; Fixed point; 26A33; 34B15; 34B18;

D O I：

10.1007/s12190-024-01998-5

中图分类号：

学科分类号：

摘要：

In this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.

引用

页码：1275 / 1293

页数：18

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