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Volume 29, Issue 1
Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain

A. Babakhani

Anal. Theory Appl., 29 (2013), pp. 47-61.

Published online: 2013-03

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  • 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.

  • Keywords

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

  • AMS Subject Headings

34LXX, 34GXX

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-47, author = {}, title = {Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n1.6}, url = {http://global-sci.org/intro/article_detail/ata/4514.html} }
TY - JOUR T1 - Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain JO - Analysis in Theory and Applications VL - 1 SP - 47 EP - 61 PY - 2013 DA - 2013/03 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n1.6 UR - https://global-sci.org/intro/article_detail/ata/4514.html KW - Fractional derivative (integral), coupled system, Volterra integral equation, diagonalization method. AB -

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.

A. Babakhani. (1970). Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain. Analysis in Theory and Applications. 29 (1). 47-61. doi:10.4208/ata.2013.v29.n1.6
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