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Jan 2017 Solving multi-dimensional fractional integro-differential equations with the initial and boundary conditions by using multi-dimensional Laplace Transform method
Adem Kılıçman, Wasan Ajeel Ahmood
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Tbilisi Math. J. 10(1): 105-115 (Jan 2017). DOI: 10.1515/tmj-2017-0007

Abstract

In this paper, the one-dimensional Laplace transform method is evolved to solve linear one-dimensional fractional Volterra integro-differential equations with initial conditions and extend this study by taking multi-dimensional Laplace transform method of the linear fractional multidimensional Volterra integro-differential equations to find solution of the initial and boundary value problems. It is noticed that the suggested methods is suitable to find solution for problems. The results of the noticed methods are supporter, easily and active.

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Adem Kılıçman. Wasan Ajeel Ahmood. "Solving multi-dimensional fractional integro-differential equations with the initial and boundary conditions by using multi-dimensional Laplace Transform method." Tbilisi Math. J. 10 (1) 105 - 115, Jan 2017. https://doi.org/10.1515/tmj-2017-0007

Information

Received: 2 June 2016; Accepted: 3 July 2016; Published: Jan 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1360.45007
MathSciNet: MR3610023
Digital Object Identifier: 10.1515/tmj-2017-0007

Subjects:
Primary: 26A33
Secondary: 44A10

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 1 • Jan 2017
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