On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-05-05 DOI:10.37394/23206.2023.22.33

A. S. Silva

引用次数: 0

Abstract

In this article, we consider a class of fractional boundary value problems with Caputo fractional derivative of order α ∈ (2, 3). The existence and uniqueness of solutions are discussed and the Adomian decomposition method is proposed to obtain an approximation of the solution. Finally, an example is given to demonstrate the validity of results.

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一类具有边界条件的非线性分数阶微分方程的解

在本文中，我们考虑一类具有阶α∈（2，3）的Caputo分数导数的分数边值问题。讨论了解的存在性和唯一性，并提出了Adomian分解方法来获得解的近似。最后，通过算例验证了结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.