Computational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equations

Mohammad Alaroud, Mohammed Al-Smadi, Rokiah @ Rozita Ahmad, Ummul Khair Salma Din

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number8686502
JournalInternational Journal of Differential Equations
Volume2018
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Fuzzy Differential Equations
Fractional Differential Equation
Linearization
Power series
Differential equations
Optimization
Taylor's Formula
Power Series Solution
Fractional Powers
Differentiability
Sort
Optimization Techniques
Analytical Solution
Exact Solution
Perturbation
Series
Demonstrate
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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