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

作者：Xu Y^*; Erturk V Suat

来源：Bulletin of the Iranian Mathematical Society, 2014, 40(3): 699-712.

• Variable-order fractional calculus
• fractional integrodifferential equation
• finite difference method
• numerical solution

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.

• 出版日期2014-6
• 单位中南大学