TY - JOUR ID - 525 TI - A finite difference technique for solving variable-order‎ ‎fractional integro-differential equations JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Xu, Yufeng AU - Suat Ertürk, Vedat AD - Department of Applied Mathematics, Central South University, Changsha, People’s Republic of China AD - Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139, Samsun, Turkey Y1 - 2014 PY - 2014 VL - 40 IS - 3 SP - 699 EP - 712 KW - Variable-order fractional calculus‎ KW - ‎fractional integro-differential equation‎ KW - ‎finite difference method‎ KW - ‎numerical solution‎ DO - N2 - ‎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. UR - http://bims.iranjournals.ir/article_525.html L1 - http://bims.iranjournals.ir/article_525_7ec20c508b2c270421866bc02cdaf7d3.pdf ER -