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2. Existence of solutions to differential inclusions with fractional order and impulses

Author

Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización, Benchohra, Mouffak, Hamani, Samira, Nieto Roig, Juan José, Slimani, Boualem Attou, Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización, Benchohra, Mouffak, Hamani, Samira, Nieto Roig, Juan José, and Slimani, Boualem Attou

Abstract

We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered.

Published
2010

3. Partial hyperbolic implicit differential equations with variable times impulses.

Author

Abbas, Said, Benchohra, Mouffak, and Slimani, Boualem Attou

Subjects
INITIAL value problems, HYPERBOLIC differential equations
Abstract

In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of functional hyperbolic impulsive implicit differential equations with variable time impulses involving the mixed regularized fractional derivative. Our works will be considered by using Schaefer's fixed point. [ABSTRACT FROM AUTHOR]

Published
2015

4. EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS.

Author

BENCHOHRA, MOUFFAK and SLIMANI, BOUALEM ATTOU

Subjects
*INITIAL value problems, *DIFFERENTIAL equations, *VISCOELASTICITY, *PARTIAL differential equations, *GEOMETRY
Abstract

In this article, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative. [ABSTRACT FROM AUTHOR]

Published
2009

5. EXISTENCE OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS WITH FRACTIONAL ORDER AND IMPULSES.

Author

BENCHOHRA, MOUFFAK, HAMANI, SAMIRA, NIETO, JUAN JOSE, and SLIMANI, BOUALEM ATTOU

Subjects
*INITIAL value problems, *NONLINEAR statistical models, *NONCONVEX programming, *DIFFERENTIAL equations, *CALCULUS
Abstract

We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered. [ABSTRACT FROM AUTHOR]

Published
2010

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