Opuscula Mathematica
Opuscula Math. 33, no. 2 (2013), 209-222

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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About the authors ▼
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
About the article ▼
Received: 2012-01-18.
Revised: 2012-07-12.
Accepted: 2012-08-28.
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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