Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order

This paper is devoted to study the existence of integral solutions for a nondensely defined semilinear functional differential equations involving the Riemann-Liouville derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.

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Bibliographic Details
Main Authors: BENCHOHRA,MOUFFAK, N’GUÉRÉKATA,GASTON M, SEBA,DJAMILA
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300003
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Summary:This paper is devoted to study the existence of integral solutions for a nondensely defined semilinear functional differential equations involving the Riemann-Liouville derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.