Certain Analysis of Solution for the Nonlinear Two-Point Boundary Value Problem with Caputo Fractional Derivative

被引:2
作者
Murad, Shayma Adil [1 ]
机构
[1] Univ Duhok, Coll Sci, Dept Math, Duhok 42001, Iraq
关键词
ULAM STABILITY; EXISTENCE;
D O I
10.1155/2022/1385355
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence and uniqueness of solutions for a nonlinear fractional differential equation with a two-point boundary condition in a Banach space are investigated by using the contraction mapping principle and the Brouwer fixed-point theorem with Bielecki norm. The iterative scheme of the numerical solution for the nonlinear two-point boundary value problem will be discussed and illustrated by solving some problems. The well-known Ulam-Hyers and Ulam-Hyers-Rassias stability theorems are employed to establish the stability of solutions to the boundary value problem. In the end, we provided a couple of examples to support our results.
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页数:18
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