Numerical simulation of nonlinear fractional integrodifferential equations of Volterra type via power series expansion

被引：0

作者：

Ale’damat, Ayed ^{[1
]}

Alrawajfi, Ala ^{[2
]}

Talafha, Adeeb ^{[1
]}

Alhabahbeh, Ahmad ^{[3
]}

Ateiwi, Ali ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science Al-Hussein Bin Talal University, Ma’an, Jordan

[2] Department of Financial and, Administrative Sciences, Ma’an College Al-Balqa Applied University, Ma’an, Jordan

[3] Department of Basic and Applied Sciences, Shoubak University, College Al-Balqa Applied University, Shoubak, Jordan

来源：

Italian Journal of Pure and Applied Mathematics | 2020年 / 43卷

关键词：

Integrodifferential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, an effective recent analytical treatment is presented to solve a certain class of nonlinear fractional integrodifferential equations of Volterra type based on the residual error functions. The solution methodology of the fractional power series (FPS) approach is to replace the n-term truncated solution by generalized fractional power series to minimize the residual error function through the derivation of those functions under the Caputo concept. Anyhow, the approximate solution is obtained directly in a rapidly convergent fractional power series without needed to linearization, perturbation, or discretization. Numerical examples are performed to show the validity and reliability of the FPS method. Numerical analysis of the results indicates that the RPS approach is simple, efficient and systematic tool in solving fractional nonlinear issues arising in applied mathematics, physics and engineering. © 2020 Forum-Editrice Universitaria Udinese SRL. All rights reserved.

引用

页码：944 / 957