Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain

Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 47–61

Abstract

We present the existence of solution for a coupled system of fractional integro-differential equations. The differential operator is taken in the Caputo fractional sense. We combine the diagonalization method with Arzela-Ascoli theorem to show a fixed point theorem of Schauder.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n1.6

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 47–61

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Fractional derivative (integral) coupled system Volterra integral equation diagonalization method.