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

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
Materias:
Partial differential equations
fractional derivative
fractional integral
fixed point
semigroups
integral solutions
finite delay
measure of noncompactness
ixed point
Banach space
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300003
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Sumario: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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