Integral equations of fractional order with multiple time delays in Banach spaces
Electronic journal of differential equations, Tome 2012 (2012)
In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Monch type associated with measures of noncompactness. Our results are illustrated by an example.
Classification :
26A33, 45N05
Keywords: integral equation, left sided mixed Riemann Liouville integral, measure of noncompactness, fixed point, Banach space
Keywords: integral equation, left sided mixed Riemann Liouville integral, measure of noncompactness, fixed point, Banach space
@article{EJDE_2012__2012__a75,
author = {Benchohra, Mouffak and Seba, Djamila},
title = {Integral equations of fractional order with multiple time delays in {Banach} spaces},
journal = {Electronic journal of differential equations},
year = {2012},
volume = {2012},
zbl = {1253.26006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a75/}
}
TY - JOUR AU - Benchohra, Mouffak AU - Seba, Djamila TI - Integral equations of fractional order with multiple time delays in Banach spaces JO - Electronic journal of differential equations PY - 2012 VL - 2012 UR - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a75/ LA - en ID - EJDE_2012__2012__a75 ER -
Benchohra, Mouffak; Seba, Djamila. Integral equations of fractional order with multiple time delays in Banach spaces. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a75/