Open Access
Feb 2017 Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order
Sertan Alkan, Veysel Fuat Hatipoglu
Author Affiliations +
Tbilisi Math. J. 10(2): 1-13 (Feb 2017). DOI: 10.1515/tmj-2017-0021

Abstract

In this study, sinc-collocation method is introduced for solving Volterra-Fredholm integrodifferential equations of fractional order. Fractional derivative is described in the Caputo sense. Obtained results are given to literature as a new theorem. Some numerical examples are presented to demonstrate the theoretical results.

Citation

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Sertan Alkan. Veysel Fuat Hatipoglu. "Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order." Tbilisi Math. J. 10 (2) 1 - 13, Feb 2017. https://doi.org/10.1515/tmj-2017-0021

Information

Received: 18 September 2016; Accepted: 22 December 2016; Published: Feb 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1360.65301
MathSciNet: MR3607269
Digital Object Identifier: 10.1515/tmj-2017-0021

Subjects:
Primary: 45J05
Secondary: 26A33 , 65L60

Keywords: Caputo derivative , sinc-collocation method , Volterra-Fredholm integro-differential equation

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 2 • Feb 2017
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