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 n...

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Autores principales: BENCHOHRA,MOUFFAK, N’GUÉRÉKATA,GASTON M, SEBA,DJAMILA
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300003
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spelling oai:scielo:S0719-064620100003000032018-10-08Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional OrderBENCHOHRA,MOUFFAKN’GUÉRÉKATA,GASTON MSEBA,DJAMILA Partial differential equations fractional derivative fractional integral fixed point semigroups integral solutions finite delay measure of noncompactness ixed point Banach space 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.3 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300003en10.4067/S0719-06462010000300003
institution Scielo Chile
collection Scielo Chile
language English
topic Partial differential equations
fractional derivative
fractional integral
fixed point
semigroups
integral solutions
finite delay
measure of noncompactness
ixed point
Banach space
spellingShingle Partial differential equations
fractional derivative
fractional integral
fixed point
semigroups
integral solutions
finite delay
measure of noncompactness
ixed point
Banach space
BENCHOHRA,MOUFFAK
N’GUÉRÉKATA,GASTON M
SEBA,DJAMILA
Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
description 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.
author BENCHOHRA,MOUFFAK
N’GUÉRÉKATA,GASTON M
SEBA,DJAMILA
author_facet BENCHOHRA,MOUFFAK
N’GUÉRÉKATA,GASTON M
SEBA,DJAMILA
author_sort BENCHOHRA,MOUFFAK
title Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
title_short Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
title_full Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
title_fullStr Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
title_full_unstemmed Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
title_sort measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300003
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