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

Abbas S., Benchohra M.

Opuscula Mathematica

2013

Vol. 33, no. 2

209--222

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.

Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders

Al-Issa S., El-Sayed A.M.A.

Commentationes Mathematicae

2009

Vol. 49, [Z] 2

171-177

In this paper we study the global existence of positive integrable solution for the nonlinear integral inclusion of fractional order..[formula] As an application the global existence of the solution for the initial-value problem of the arbitrary (fractional) orders differential inclusion..[formula] will be studied.

Integral inclusions. Fixed point approaches

Petrusel A.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2000

[Z] 40

147-158

The purpose of this paper is to present several existence theorems for classes of integral inclusions, using the fixed point technique.