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

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida, 32901-6975, USA

    Ravi P. Agarwal

  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, BP 89, 22000, Sidi Bel-Abbès, Algérie

    Mouffak Benchohra

  3. Département de Mathématiques, Université de Boumerdes, Avenue de l’indépendance, 35000, Boumerdes, Algérie

    Djamila Seba

Authors
  1. Ravi P. Agarwal
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  2. Mouffak Benchohra
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  3. Djamila Seba
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Corresponding author

Correspondence to Ravi P. Agarwal.

Additional information

Received: October 3, 2008. Revised: March 30, 2009.

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Agarwal, R.P., Benchohra, M. & Seba, D. On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations. Results. Math. 55, 221 (2009). https://doi.org/10.1007/s00025-009-0434-5

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  • DOI: https://doi.org/10.1007/s00025-009-0434-5

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