An Efficient Method for Solving Singularly Perturbed Riccati Equation with Fractional Order

Muhammed I. Syam, Alaa Haroun, Marwa Al Refai, M. Naim Anwar

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we study a class of singularly perturbed Riccati equation with fractional order. We divide the problem into three problems. The first problem is the reduced problem when ϵ= 0. The second and third problems are fractional Riccati problem. The results show that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. Numerical results are presented.

Original languageEnglish
Article number32
JournalInternational Journal of Applied and Computational Mathematics
Volume4
Issue number1
DOIs
Publication statusPublished - Feb 1 2018

Keywords

  • Caputo fractional derivative
  • Nonlinear initial value problem
  • Singularly perturbed Riccati equation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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