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