An Extension of Darbo’s Theorem and Its Application

Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved. Then, as an application, our attention is focused on the existence of solutions of the integral equation x(t)=F(t,f(t,x(α1(t)),  x(α2(t))), ((Tx)(t)/Γ(α))×∫0t‍(u(t,s,max⁡[0,r(s)]⁡|x(γ1(τ))|,  ma...

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Bibliographic Details
Main Authors: A. Samadi, M. B. Ghaemi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/852324
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