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

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XU YUFENG; SUAT ERTURK VEDAT

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2014 | Volume:40 | Issue:3 Page(s): 699-712

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Title

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

Author(s)

XU YUFENG | SUAT ERTURK VEDAT | Issue Writer Certificate

Keywords

VARIABLE-ORDER FRACTIONAL CALCULUS

FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION

FINITE DIFFERENCE METHOD

NUMERICAL SOLUTION

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.

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APA: Copy

XU, YUFENG, & SUAT ERTURK, VEDAT. (2014). A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(3), 699-712. SID. https://sid.ir/paper/642061/en

Vancouver: Copy

XU YUFENG, SUAT ERTURK VEDAT. A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(3):699-712. Available from: https://sid.ir/paper/642061/en

IEEE: Copy

YUFENG XU, and VEDAT SUAT ERTURK, “A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 3, pp. 699–712, 2014, [Online]. Available: https://sid.ir/paper/642061/en

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