Browsing by Author "Lazreg, Jamal Eddine"

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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: 1
Citation - Scopus: 3
Fractional Differential Equations With Maxima on Time Scale Via Picard Operators
(Univ Nis, Fac Sci Math, 2023) Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In 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.
Citation - WoS: 59
Citation - Scopus: 72
Impulsive 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; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
We 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.
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: 6
Citation - Scopus: 9
Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales
(Springernature, 2022) Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In 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.
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.