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

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-Liouvilleʹs and Caputoʹs 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.