Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work, a modified residual power series method is implemented for providing efficient analytical and approximate solutions for a class of coupled system of nonlinear fractional integrodifferential equations.
The proposed algorithm is based on the concept of residual error functions and generalized power series formula.
The fractional derivative is described under the Caputo concept.
To illustrate the potential, accuracy, and efficiency of the proposed method, two numerical applications of the coupled system of nonlinear fractional integrodifferential equations are tested.
The numerical results confirm the theoretical predictions and depict that the suggested scheme is highly convenient, is quite effective, and practically simplifies computational time.
Consequently, the proposed method is simple, accurate, and convenient in handling different types of fractional models arising in the engineering and physical systems.
American Psychological Association (APA)
Al e’damat, Ayed. 2020. Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1139857
Modern Language Association (MLA)
Al e’damat, Ayed. Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1139857
American Medical Association (AMA)
Al e’damat, Ayed. Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1139857
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139857