Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order

Mouffak Benchohra; Gaston M. N‘Guérékata; Djamila Seba

doi:10.4067/S0719-06462010000300003

Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order

Authors

Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie.
Gaston M. N‘Guérékata Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA.
Djamila Seba Département de Mathématiques, Université de Boumerdès, Avenue de l‘indépendance, 35000 Boumerdès, Algérie.

DOI:

https://doi.org/10.4067/S0719-06462010000300003

Keywords:

Partial differential equations, fractional derivative, fractional integral, fixed point, semigroups, integral solutions, finite delay, measure of noncompactness, Banach space

Abstract

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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Published

2010-10-01

How to Cite

[1]

M. Benchohra, G. M. N‘Guérékata, and D. Seba, “Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order”, CUBO, vol. 12, no. 3, pp. 35–48, Oct. 2010.