TY - JOUR
T1 - Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain
AU - A. Babakhani
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 - <p style="text-align: justify;">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.</p>