A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Xu Y., Ertürk V. S.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.40, no.3, pp.699-712, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 3
  • Publication Date: 2014
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.699-712
  • Keywords: Variable-order fractional calculus, fractional integrodifferential equation, finite difference method, numerical solution, APPROXIMATE SOLUTION, CONSTANT-ORDER, MODEL
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this article, we use a finite difference technique to solve variable - order fractional integro - differential equations (VOFIDEs, for short). In these equations, the variable-order fractional integration(VOFI) and variable-order fractional derivative (VOFD) are described in the Riemann-Liouville's and Caputo's sense,respectively. Numerical experiments, consisting of two examples, are studied. The obtained numerical results reveal that the proposed finite difference technique is very effective and convenient for solving VOFIDEs.