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
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.
- 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.
