Showing papers by "Mouffak Benchohra published in 2011"

Second-Order Boundary Value Problem with Integral Boundary Conditions

Abstract: The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions. The compactness of solutions set is also investigated.

Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations

Abstract: We investigate the global existence and uniqueness of solutions for some classes of partial hyperbolic differential equations involving the Caputo fractional derivative with finite and infinite delays. The existence results are obtained by applying some suitable fixed point theorems.

Fractional order partial hyperbolic functional differential equations with state-dependent delay

Abstract: This paper deals with the existence and uniqueness of solutions of some classes of partial functional and neutral functional hyperbolic differential equations with state-dependent delay involving the Caputo fractional derivative. Our results will be obtained by using suitable fixed point theorems.

Fractional order impulsive partial hyperbolic differential inclusions with variable times

Abstract: This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

Boundary-value problems for differential inclusions with Riemann–Liouville fractional derivative

Abstract: We establish sufficient conditions for the existence of solutions of a class of boundary-value problems for fractional differential inclusions involving the Riemann–Liouville fractional derivative. The cases of convex-valued and nonconvex-valued right-hand sides are considered. The topological structure of the set of solutions is also examined.

Impulsive semilinear neutral functional differential inclusions with multivalued jumps

Abstract: In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.

Fractional Order Differential Inclusions via the Topological Transversality Method

Abstract: El objetivo de este trabajo es presentar nuevos resultados sobre la existencia de soluciones para una clase de problemas de contorno para inclusiones diferenciales derivados de la participacion de Caputo fraccionada. Nuestro enfoque se basa en el metodo de la transversalidad topologica.