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

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DOI:

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

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.

Keywords

Partial differential equations , fractional derivative , fractional integral , fixed point , semigroups , integral solutions , finite delay , measure of noncompactness , Banach space
  • 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.
  • Pages: 35–48
  • Date Published: 2010-10-01
  • Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

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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.

Issue

Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Section

Articles

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