Browsing by Author "Salim, Abdelkrim"

Now showing 1 - 12 of 12

Citation - WoS: 1
Citation - Scopus: 2
Abstract Random Differential Equations With State-Dependent Delay Using Measures of Noncompactness
(Vilnius Univ, inst Mathematics & informatics, 2024) Heris, Amel; Bouteffal, Zohra; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application related to partial random differential equations with state-dependent delay is presented.
Citation - WoS: 28
Citation - Scopus: 43
Controllability of Second Order Functional Random Differential Equations With Delay
(Mdpi, 2022) Benchohra, Mouffak; Bouazzaoui, Fatima; Karapinar, Erdal; Salim, Abdelkrim; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate the existence of mild random solutions. Next, we prove that our problems are controllable. Finally, an example is given to validate the theory part.
Citation - WoS: 1
Citation - Scopus: 2
Existence and Attractivity Results on Semi-Infinite Intervals for Integrodifferential Equations With Non-Instantaneous Impulsions in Banach Spaces
(Ovidius Univ Press, 2024) Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder's fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.
Citation - WoS: 74
Citation - Scopus: 83
Existence and Ulam Stability for Impulsive Generalized Hilfer-Type Fractional Differential Equations
(Springer, 2020) Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Monch associated with the technique of measure of noncompactness. We provide some examples to indicate the applicability of our results.
Citation - WoS: 4
Citation - Scopus: 5
Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
(Amer inst Mathematical Sciences-aims, 2025) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Bensalem, Abdelhamid; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
Citation - WoS: 22
Citation - Scopus: 40
Fractional Partial Random Differential Equations With Infinite Delay
(Elsevier, 2022) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Heris, Amel; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The present paper deals with some existence results for the Darbou x problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness.
Citation - WoS: 1
Citation - Scopus: 5
Functional Delay Random Semilinear Differential Equations
(Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, Amel; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our arguments on some suitable random fixed point theorem with stochastic domain and the integrated semigroup.
Citation - WoS: 22
Citation - Scopus: 30
Global Stability Results for Volterra-Hadamard Random Partial Fractional Integral Equations
(Springer-verlag Italia Srl, 2023) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Salim, Abdelkrim; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper investigates the existence and stability of random solutions of a class of Hadamard fractional order functional partial integral equations with random effects in Banach spaces.
Impulsive Fractional Differential Equations with Retardation and Anticipation
(2023) Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This chapter deals with the existence and uniqueness results for a class of impulsive initial and boundary value problems for implicit nonlinear fractional differential equations and k-Generalized ψ -Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on some necessary fixed point theorems. Suitable illustrative examples are provided for each section.
Citation - WoS: 19
Citation - Scopus: 26
Non-Instantaneous Impulsive Fractional Integro-Differential Equations With State-Dependent Delay Br
(Univ Maragheh, 2022) Salim, Abdelkrim; Aissani, Khalida; Benchohra, Mouffak; Karapinar, Erdal; Benkhettou, Nadia; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example to confirm of the results is provided.
Citation - Scopus: 1
On Periodic Solutions for Implicit Nonlinear Caputo Tempered Fractional Differential Problems
(de Gruyter Poland Sp Z O O, 2024) Bouriah, Soufyane; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, two illustrative examples will be demonstrated.
Citation - WoS: 10
Citation - Scopus: 13
A Study on K-Generalized ?-Hilfer Fractional Differential Equations With Periodic Integral Conditions
(Wiley, 2024) Bouriah, Soufyane; Benchohra, Mouffak; Lazreg, Jamal Eddine; Karapinar, Erdal; Salim, Abdelkrim; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper deals with some existence and uniqueness results for a class of problems systems for nonlinear k-generalized psi-Hilfer fractional differential equations with periodic conditions. The arguments are based on Mawhins coincidence degree theory. Furthermore, an illustration is presented to demonstrate the plausibility of our results.