Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order

Bothayna S.H. Kashkari, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

This paper is devoted to both theoretical and numerical study of Riccati equation with fractional order. A formulation to the fractional-order Legendre operational matrix of fractional integration is constructed. Existence and uniqueness results for the considered problem are provided and proved. The fractional derivative is described in the Caputo sense. Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.

Original languageEnglish
Pages (from-to)281-291
Number of pages11
JournalApplied Mathematics and Computation
Volume290
DOIs
Publication statusPublished - Nov 1 2016

Keywords

  • Fractional-order Legendre function
  • Operational matrix of fractional integration
  • Riccati equation with fractional order

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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