Opuscula Math. 33, no. 2 (2013), 209-222
http://dx.doi.org/10.7494/OpMath.2013.33.2.209

 
Opuscula Mathematica

Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay

Saïd Abbas
Mouffak Benchohra

Abstract. In the present paper we investigate the existence of solutions for a system of integral inclusions of fractional order with multiple delay. Our results are obtained upon suitable fixed point theorems, namely the Bohnenblust-Karlin fixed point theorem for the convex case and the Covitz-Nadler for the nonconvex case.

Keywords: integral inclusion, left-sided mixed Riemann-Liouville integral, time delay solution, fixed point.

Mathematics Subject Classification: 26A33.

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  • Saïd Abbas
  • Université de Saïda, Laboratoire de Mathématiques, B.P. 138, 20000, Saïda, Algeria
  • Mouffak Benchohra
  • Université de Sidi Bel-Abbès, Laboratoire de Mathématiques, B.P. 89, 22000, Sidi Bel-Abbès, Algeria
  • Received: 2012-01-18.
  • Revised: 2012-07-12.
  • Accepted: 2012-08-28.
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Cite this article as:
Saïd Abbas, Mouffak Benchohra, Fractional order Riemann-Liouville integral inclusions with two independent variables and multiple delay, Opuscula Math. 33, no. 2 (2013), 209-222, http://dx.doi.org/10.7494/OpMath.2013.33.2.209

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