Analytical and numerical techniques for solving a fractional integrodifferential equation in complex space

被引:0
|
作者
Shammaky, Amnah E. [1 ]
Youssef, Eslam M. [2 ]
机构
[1] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia
[2] Alexandria Univ, Fac Educ, Dept Math, Alexandria 21256, Egypt
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 11期
关键词
fractional calculus; complex plane; fixed point theorem; rationalized Haar wavelet; Euler wavelet method; EXISTENCE;
D O I
10.3934/math.20241543
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we describe the existence and uniqueness of a solution to the nonlinear fractional Volterra integro differential equation in complex space using the fixed-point theory. We also examine the remarkably effective Euler wavelet method, which converts the model to a matrix structure that lines up with a system of algebraic linear equations; this method then provides approximate solutions for the given problem. The proposed technique demonstrates superior accuracy in numerical solutions when compared to the Euler wavelet method. Although we provide two cases of computational methods using MATLAB R2022b, which could be the final step in confirming the theoretical investigation.
引用
收藏
页码:32138 / 32156
页数:19
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