A finite difference technique for solving variable-order‎ ‎fractional integro-differential equations

Document Type : Research Paper


1 Department of Applied Mathematics, Central South University, Changsha, People’s Republic of China

2 Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139, Samsun, Turkey


‎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.


Main Subjects

  • Receive Date: 12 January 2013
  • Revise Date: 28 February 2013
  • Accept Date: 23 May 2013
  • First Publish Date: 01 June 2014