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
Abstract
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.
Xu, Y., & Suat Ertürk, V. (2014). A finite difference technique for solving variable-order fractional integro-differential equations. Bulletin of the Iranian Mathematical Society, 40(3), 699-712.
MLA
Xu, Y., & Suat Ertürk, V. "A finite difference technique for solving variable-order fractional integro-differential equations", Bulletin of the Iranian Mathematical Society, 40, 3, 2014, 699-712.
HARVARD
Xu Y., Suat Ertürk V. (2014). 'A finite difference technique for solving variable-order fractional integro-differential equations', Bulletin of the Iranian Mathematical Society, 40(3), pp. 699-712.
CHICAGO
Y. Xu & V. Suat Ertürk, "A finite difference technique for solving variable-order fractional integro-differential equations," Bulletin of the Iranian Mathematical Society, 40 3 (2014): 699-712,
VANCOUVER
Xu Y., Suat Ertürk V. A finite difference technique for solving variable-order fractional integro-differential equations. BIMS. 2014;40(3):699-712.
