Browsing by Author "Benchohra, Mouffak"
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Article Citation - WoS: 2Citation - Scopus: 3Abstract 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, ErdalThis 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.Article Citation - WoS: 31Citation - Scopus: 45Controllability of Second Order Functional Random Differential Equations With Delay(Mdpi, 2022) Benchohra, Mouffak; Bouazzaoui, Fatima; Karapinar, Erdal; Salim, AbdelkrimIn 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.Article Citation - WoS: 1Citation - Scopus: 1Dynamics and Ulam Stability for Fractional Q-Difference Inclusions Via Picard Operators Theory(Ovidius Univ Press, 2021) Benchohra, Mouffak; Karapinar, Erdal; Abbas, Said; Karaplnar, ErdalIn this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.Article Citation - WoS: 2Citation - Scopus: 3Existence 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, ErdalIn 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.Article Citation - WoS: 78Citation - Scopus: 95Existence and Ulam Stability for Impulsive Generalized Hilfer-Type Fractional Differential Equations(Springer, 2020) Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Salim, AbdelkrimIn 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.Article Citation - WoS: 4Citation - Scopus: 6Existence 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, AbdelhamidThe 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.Article Citation - WoS: 2Citation - Scopus: 5Fractional Differential Equations With Maxima on Time Scale Via Picard Operators(Univ Nis, Fac Sci Math, 2023) Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak; Karapinar, ErdalIn this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment omega a u(& thetasym;) = zeta(& thetasym;, u(& thetasym;), max sigma E[a,& thetasym;] u(sigma)), & thetasym; E J : = [a,b]T, 0 < omega <1,u(a) = phi,We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.Article Citation - WoS: 24Citation - Scopus: 41Fractional Partial Random Differential Equations With Infinite Delay(Elsevier, 2022) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Heris, AmelThe 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.Article Citation - WoS: 1Citation - Scopus: 5Functional Delay Random Semilinear Differential Equations(Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, AmelIn 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.Article Citation - WoS: 11Citation - Scopus: 16Global Attractivity for Fractional Order Delay Partial Integro-Differential Equations(Springer, 2012) Baleanu, Dumitru; Benchohra, Mouffak; Abbas, SaidOur aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order. We use the Schauder fixed point theorem for the existence of solutions, and we prove that all solutions are locally asymptotically stable. AMS (MOS) Subject Classifications: 26A33.Article Citation - WoS: 22Citation - Scopus: 30Global Stability Results for Volterra-Hadamard Random Partial Fractional Integral Equations(Springer-verlag Italia Srl, 2023) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Salim, AbdelkrimThis 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.Article Citation - WoS: 61Citation - Scopus: 83Impulsive Caputo-Fabrizio Fractional Differential Equations in B-Metric Spaces(de Gruyter Poland Sp Z O O, 2021) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Karaplnar, ErdalWe deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of alpha-phi-Geraghty-type contraction. An illustrative example is the subject of the last section.Article Impulsive Fractional Differential Equations with Retardation and Anticipation(2023) Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, AbdelkrimThis 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.Article Citation - WoS: 6Citation - Scopus: 9Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales(Springernature, 2022) Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, ErdalIn this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.Article Citation - WoS: 22Citation - Scopus: 28Non-Instantaneous Impulsive Fractional Integro-Differential Equations With State-Dependent Delay Br(Univ Maragheh, 2022) Salim, Abdelkrim; Aissani, Khalida; Benchohra, Mouffak; Karapinar, Erdal; Benkhettou, NadiaThis 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.Article Citation - WoS: 2Citation - Scopus: 2On 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, ErdalThe 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.Editorial Preface(Springer Nature, 2022) Agarwal, Ravi P.; Karapınar, Erdal; Burcu Özdemir Sarı, Ö.; Caner, Alp; Chen, Yangquan; Gazi, Orhan; Mahmoud, Khaled; Salim, Abdelkrim; Gülkan, Polat; Machado, José António Tenreiro; Kumar, Devendra; Lazreg, Jamal Eddine; Dutta, Hemen; Özdemir, Suna S.; Hristov, Jordan; Momani, Shaher; Purohit, Sunil Dutt; Anastassiou, George A.; Uzun, Nil; Baleanu, Dumitru; Benchohra, Mouffak; Singh, Jagdev; Cattani, Carlo; Agarwal, PraveenArticle Citation - WoS: 7Citation - Scopus: 10Some New Results for Ψ - Hilfer Fractional Pantograph-Type Differential Equation Depending on Ψ - Riemann-Liouville Integral(Springernature, 2022) Bouriah, Soufyane; Benchohra, Mouffak; Karapinar, Erdal; Foukrach, DjamalThe aim of the present work is to study a large class of psi-Hilfer fractional differential equation of Pantograph-type depending on psi-Riemann-Liouville fractional integral operator associated with periodic-type fractional integral boundary conditions in a weighted space of continuous functions. We shall prove the existence and uniqueness results by means of Mawhin's coincidence degree theory. At the end, an illustrative example will be constructed to approve our findings.Article Citation - WoS: 13Citation - Scopus: 15A Study on K-Generalized ?-Hilfer Fractional Differential Equations With Periodic Integral Conditions(Wiley, 2024) Bouriah, Soufyane; Benchohra, Mouffak; Lazreg, Jamal Eddine; Karapinar, Erdal; Salim, AbdelkrimThis 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.Article Citation - WoS: 10Citation - Scopus: 14Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in B-Metric Spaces(Hindawi Ltd, 2021) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Krim, SalimThis manuscript deals with a class of Katugampola implicit fractional differential equations in b-metric spaces. The results are based on the alpha-phi-Geraghty type contraction and the fixed point theory. We express an illustrative example.
