Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions

In this article we study the fractional semilinear mixed Volterra-Fredholm integrodifferential equation $$ frac{d^{alpha }x(t)}{dt^{alpha }} =Ax(t)+fBig(t,x(t), int_{t_0}^tk(t,s,x(s))ds,int_{t_0}^{T}h(t,s,x(s))dsBig) , $$ where $tin [t_0,T]$, $t_0geq 0$, $0<alpha <1$, and $f$ is...

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Bibliographic Details
Main Author: Mohammed M. Matar
Format: Article
Language:English
Published: Texas State University 2009-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/155/abstr.html