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28 results on '"Hammouche, Hadda"'

4. Existence Results for Impulsive Partial Functional Fractional Differential Equation with State Dependent Delay

Author

Abada, Nadjet, Chahdane, Helima, Hammouche, Hadda, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Hammouch, Zakia, editor, Dutta, Hemen, editor, Melliani, Said, editor, and Ruzhansky, Michael, editor

Published
2021
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8. Existence and Hyers-Ulam stability of random coupled system of multi-fractional differential equations in generalized Banach space.

Author

Fredj, Fouad and Hammouche, Hadda

Subjects
*BANACH spaces, *DIFFERENTIAL equations, *GENERALIZED spaces, *FRACTIONAL differential equations, *CAPUTO fractional derivatives, *INTEGRALS
Abstract

This paper aims to investigate a random coupled system with multiple fractional derivatives of ψ-Caputo of different orders subject to non-local integral and boundary condition and proves the uniqueness of random solution by applying random versions of the Pervo fixed point theorem. while the existence of solutions is derived by a random version of a Krasnoselskii-type fixed point theorem. Also, we study the Hyers-Ulam stability of the proposed problem. Obtained results are illustrated by an example. [ABSTRACT FROM AUTHOR]

Published
2024

18. EXISTENCE AND UNIQUENESS OF INTEGRABLE SOLUTIONS TO FRACTIONAL LANGEVIN EQUATIONS INVOLVING TWO FRACTIONAL ORDERS WITH INITIAL VALUE PROBLEMS.

Author

DERBAZI, CHOUKRI and HAMMOUCHE, HADDA

Subjects
CAPUTO fractional derivatives, LANGEVIN equations, INTEGRABLE functions, FRACTIONAL calculus, INITIAL value problems, FIXED point theory
Abstract

We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results. [ABSTRACT FROM AUTHOR]

Published
2021
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20. Existence results for some impulsive partial functional fractional differential equations.

Author

Hammouche, Hadda, Lemkeddem, Mouna, Guerbati, Kaddour, and Ezzinbi, Khalil

Subjects
FUNCTIONAL differential equations, FRACTIONAL differential equations, COMPACT operators, CAPUTO fractional derivatives
Abstract

In this paper, we study the existence of mild solutions of impulsive evolution fractional functional differential equation of order 0 < α < 1 involving a Lipschitz condition on term I k . We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators due to Burton and Kirk. [ABSTRACT FROM AUTHOR]

Published
2020
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21. Impulsive partial functional fractional differential equations with non-local conditions.

Author

Lemkeddem, Mouna, Hammouche, Hadda, Guerbati, Kaddour, and Benchohra, Mouffak

Subjects
*FUNCTIONAL differential equations, *FRACTIONAL differential equations, *STEPFAMILIES, *FRACTIONAL integrals
Abstract

This paper is mainly concerned with the existence of mild solutions of some impulsive evolution fractional functional differential equations with non-local conditions. The results are obtained by using the Banach contraction principle and Krasnoselski's fixed point theorem combined with the a-Resolvent family. An example is presented to illustrate the main results. [ABSTRACT FROM AUTHOR]

Published
2019

22. EXISTENCE RESULTS FOR SEMILINEAR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY.

Author

HAMMOUCHE, HADDA, GUERBATI, KADDOUR, and BOUTOULOUT, ALI

Subjects
*SEMILINEAR elliptic equations, *FRACTIONAL differential equations, *MATHEMATICAL functions, *DIFFERENTIAL inclusions, *BANACH spaces
Abstract

Our goal In this paper is to establish sufficient conditions for the existence of mild solution of some class of semilinear fractional differential inclusions of order 0 < α ≥ 1 with state dependent delay in separable Banach space. The existence result is established when the multivalued function has convex values. The result is obtained via the nonlinear alternative of Leray-Schauder type. [ABSTRACT FROM AUTHOR]

Published
2018

23. Existence and controllability results for non-densely defined impulsive semilinear functional differential equations

Author

Abada, Nadjet, Benchohra, Mouffak, and Hammouche, Hadda

Subjects
Applied Mathematics, 34K35, 34K45, 34K30, 93B05, Analysis
Abstract

In this paper, we shall establish sufficient conditions for the existence of integral solutions and extremal integral solutions for some non-densely defined impulsive semilinear functional differential equations in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators. The question of controllability of these equations are also considered.

Published
2008
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28. EXISTENCE RESULTS FOR IMPULSIVE SEMILINEAR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH DELAY IN BANACH SPACES.

Author

HAMMOUCHE, HADDA, GUERBATI, KADDOUR, BENCHOHRA, MOUFFAK, and ABADA, NADJAT

Subjects
*IMPULSIVE differential equations, *DIFFERENTIAL inclusions, *BANACH spaces, *SET-valued maps, *FRACTIONAL calculus
Abstract

In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type. [ABSTRACT FROM AUTHOR]

Published
2013
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