Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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.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: 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: 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: 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: 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.Article 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: 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: 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.