A new approach to approximate solutions for a class of nonlinear multi-term fractional differential equations with integral boundary conditions

Advances in Difference Equations

article

O, KyuNam¹  Jong, KumSong¹  Pak, SunAe¹  Choi, HuiChol¹ 

[1] Faculty of Mathematics, Kim Il Sung University

关键词: Fractional differential equation;    Integral boundary condition;    Banach fixed point theorem;    Daftardar-Gejji and Jafari iterative method;    Adomian decomposition method;   

DOI  :  10.1186/s13662-020-02739-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear multi-term fractional differential equations and propose a new method to obtain their approximate solutions. The existence results are established by the Banach fixed point theorem, and approximate solutions are determined by the Daftardar-Gejji and Jafari iterative method (DJIM) and the Adomian decomposition method (ADM). Finally, we present some examples to illustrate the existence result and the effectiveness of applied approximate techniques.

【 授权许可】

CC BY