Results in Mathematics

, 55:221

On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations

  • Ravi P. Agarwal
  • Mouffak Benchohra
  • Djamila Seba
Article

DOI: 10.1007/s00025-009-0434-5

Cite this article as:
Agarwal, R.P., Benchohra, M. & Seba, D. Results. Math. (2009) 55: 221. doi:10.1007/s00025-009-0434-5

Abstract.

In this paper, we prove the existence of solutions for a boundary value problem of fractional differential equations. The technique relies on the concept of measures of noncompactness and Mönch’s fixed point theorem.

Mathematics Subject Classification (2000).

26A33 34B15 

Keywords.

Boundary value problem Caputo fractional derivative measure of noncompactness fixed-point Banach space 

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Ravi P. Agarwal
    • 1
  • Mouffak Benchohra
    • 2
  • Djamila Seba
    • 3
  1. 1.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  2. 2.Laboratoire de MathématiquesUniversité de Sidi Bel-AbbèsSidi Bel-AbbèsAlgérie
  3. 3.Département de MathématiquesUniversité de BoumerdesBoumerdesAlgérie

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