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Computational Solution of a Fractional Integro-Differential Equation
Joint Authors
Akinlar, Mehmet Ali
Ibragimov, Ranis
Kurulay, Muhammet
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-12
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Although differential transform method (DTM) is a highly efficient technique in the approximate analytical solutions of fractional differential equations, applicability of this method to the system of fractional integro-differential equations in higher dimensions has not been studied in detail in the literature.
The major goal of this paper is to investigate the applicability of this method to the system of two-dimensional fractional integral equations, in particular to the two-dimensional fractional integro-Volterra equations.
We deal with two different types of systems of fractional integral equations having some initial conditions.
Computational results indicate that the results obtained by DTM are quite close to the exact solutions, which proves the power of DTM in the solutions of these sorts of systems of fractional integral equations.
American Psychological Association (APA)
Kurulay, Muhammet& Akinlar, Mehmet Ali& Ibragimov, Ranis. 2013. Computational Solution of a Fractional Integro-Differential Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-504613
Modern Language Association (MLA)
Kurulay, Muhammet…[et al.]. Computational Solution of a Fractional Integro-Differential Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-504613
American Medical Association (AMA)
Kurulay, Muhammet& Akinlar, Mehmet Ali& Ibragimov, Ranis. Computational Solution of a Fractional Integro-Differential Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-504613
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504613