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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 5    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 5,May 2012
On Existence and Asymptotic Behavior of the Solution for a Fractional Integro-Differential Equation
Full Text(PDF, )  PP.I026-I037  
Azhaar H. Sallo, Afrah S. Hasan
Asymptotic behavior of solution, Banach fixed point theorem, generalized Gronwall’s lemma and Hölder's inequality
In this paper, we have taken a fractional integro-differential equation of Volterra nonlinear type integral equation with initial conditions, and we have studied the existence and asymptotic behavior of solution in the space of p-integrable functions on , . Our method is based on the applications of the Banach fixed point theorem, generalized Gronwall's lemma and Hölder's inequality.
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