BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.40, no.3, pp.699-712, 2014 (SCI-Expanded)
Article / Article
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Variable-order fractional calculus, fractional integrodifferential equation, finite difference method, numerical solution, APPROXIMATE SOLUTION, CONSTANT-ORDER, MODEL
Ondokuz Mayıs University Affiliated:
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.