Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations
Joint Authors
Din, Ummul Khair Salma
al-Smadi, Mohammed
Alaroud, Mohammad
Ahmad, Rokiah Rozita
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper aims to present a novel optimization technique, the residual power series (RPS), for handling certain classes of fuzzy fractional differential equations of order 1<γ≤2 under strongly generalized differentiability.
The proposed technique relies on generalized Taylor formula under Caputo sense aiming at extracting a supportive analytical solution in convergent series form.
The RPS algorithm is significant and straightforward tool for creating a fractional power series solution without linearization, limitation on the problem’s nature, sort of classification, or perturbation.
Some illustrative examples are provided to demonstrate the feasibility of the RPS scheme.
The results obtained show that the scheme is simple and reliable and there is good agreement with exact solution.
American Psychological Association (APA)
Alaroud, Mohammad& al-Smadi, Mohammed& Ahmad, Rokiah Rozita& Din, Ummul Khair Salma. 2018. Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170830
Modern Language Association (MLA)
Alaroud, Mohammad…[et al.]. Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations. International Journal of Differential Equations No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1170830
American Medical Association (AMA)
Alaroud, Mohammad& al-Smadi, Mohammed& Ahmad, Rokiah Rozita& Din, Ummul Khair Salma. Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170830