Abdelkrim Salim, Ph.D.

Professor (Associate) and Researcher in Mathematics

Scientific Papers



2024


A study on some conformable fractional implicit hybrid differential equations with delay


A. Salim, S. Krim, J. E. Lazreg, M. Benchohra

Kragujevac J. Math., vol. 50(3), 2026, pp. 439-455


Sets for second-order integro-differential inclusions with infinite delay


A. Bensalem, A. Salim, M. Benchohra

Qual. Theory Dyn. Syst., vol. 23(144), 2024, 21 pages


Approximate controllability and Ulam stability for second-order impulsive integrodifferential evolution equations with state-dependent delay


A. Bensalem, A. Salim, M. Benchohra, G. N'Guérékata

Int. J. Differ. Equ., vol. 2024, 2024, 21 pages


Existence and $\kappa$-Mittag-Leffler-Ulam-Hyers stability results for implicit coupled $(\kappa,\vartheta)$-fractional differential systems


A. Salim, C. Derbazi, J. Alzabut, A. Küçükaslan

Arab Journal of Basic and Applied Sciences, vol. 31(1), 2024, pp. 225-241


On tempered $(\kappa,\psi)$-Hilfer fractional boundary value problems


A. Salim, J. E. Lazreg, M. Benchohra

Pan-Amer. J. Math., vol. 3, 2024, 20 pages


Random solutions for improved conformable fractional differential equations with retardation and anticipation


A. Salim, S. Krim, S. Abbas, M. Benchohra

Eur. J. Math. Appl., vol. 4, 2024, 13 pages


Fractional Hybrid Differential Equations with \it P-laplacian Operator


C. Derbazi, A. Salim, H. Hammouche, M. Benchohra

J. Appl. & Pure Math., vol. 6(1-2), 2024, pp. 21-36


Existence and uniqueness of periodic solutions for some nonlinear $\psi$-fractional coupled systems


D. Benzenati, S. Bouriah, A. Salim, M. Benchohra

Vietnam J. Math., 2024, 18pages


Fractional order nonlocal thermistor boundary value problem on time scales


J. Alzabut, M. Khuddush, A. Salim, S. Etemad, S. Rezapour

Qual. Theory Dyn. Syst., vol. 23(167), 2024, 20 pages


Existence and successive approximations of mild solution for integro-differential equations in Banach spaces


K. Bensatal, A. Salim, M. Benchohra

An. Univ. Vest Timi\c{s}. Ser. Mat.-Inform, vol. 60(1), 2024, pp. 44-55


Existence and uniqueness results for $(k,\psi)$-fractional order quadratic integral equations


S. Khennouf, N. Abada, C. Derbazi, A. Salim

U.P.B. Sci. Bull., Series A., vol. 86(1), 2024, pp. 55-64


On deformable fractional impulsive implicit boundary value problems with delay


S. Krim, A. Salim, M. Benchohra

Arab. J. Math., vol. 13, 2024, pp. 199-226


Fractional non-autonomous evolution equations with integral impulse condition in Fréchet spaces


F. Mesri, A. Salim, M. Benchohra

Fract. Differ. Calc., vol. 13(2), 2023, pp. 185-198


On implicit neutral tempered $\psi$-Caputo fractional differential equations with delay via densifiability techniques


N. Bettayeb, A. Salim, J. E. Lazreg, M. Benchohra

ATNAA, vol. 7(5), 2023, pp. 44-65


Asymptotically almost automorphic mild solutions for semilinear integro-differential evolution equations


N. Ikhlef, N. Rezoug, A. Salim, M. Benchohra, S. Litimein

J. Math. Ext., vol. 17(10), 2023, pp. 1-30


2023


Functional delay random semilinear differential equations


A. Benaissa, A. Salim, M. Benchohra, E. Karapinar

J Anal., 2023, pp. 1-12


New stability results for abstract fractional differential equations with delay and non-instantaneous impulses


A. Benchaib, A. Salim, S. Abbas, M. Benchohra

Mathematics, vol. 11(16), 2023, p. 3490


Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces


A. Bensalem, A. Salim, B. Ahmad, M. Benchohra

CUBO, vol. 25(2), 2023, pp. 231–250


Controllability results for second-order integro-differential equations with state-dependent delay


A. Bensalem, A. Salim, M. Benchohra, J. J. Nieto

Evol. Equ. Control Theory, vol. 12(6), 2023, pp. 1559-1576


Some new existence results for fractional partial random nonlocal differential equations with delay


A. Heris, A. Salim, M. Benchohra

Ann. Univ. Paedagog. Crac. Stud. Math., vol. 22, 2023, pp. 135-148


Controllability of second order semilinear random differential equations in Fréchet spaces


A. Salim, F. Mesri, M. Benchohra, C. Tunç

Mediterr. J. Math., vol. 20(84), 2023, pp. 1-12


Existence, uniqueness and Ulam-Hyers-Rassias stability of differential coupled systems with Riesz-Caputo fractional derivative


A. Salim, J. E. Lazreg, M. Benchohra

Tatra Mt. Math. Publ., vol. 84, 2023, pp. 111-138


Initial value problems for hybrid generalized Hilfer fractional differential equations


A. Salim, J. E. Lazreg, S. Abbas, M. Benchohra, Y. Zhou

Discontinuity, Nonlinearity, and Complexity, vol. 12(2), 2023, pp. 287-298


A Study on Tempered (k, ψ)-Hilfer Fractional Operator


A. Salim, M. Benchohra

Lett. Nonlinear Anal. Appl., vol. 1(3), 2023, pp. 101-121


Implicit coupled 𝑘‑generalized 𝜓‑Hilfer fractional differential systems with terminal conditions in Banach spaces


A. Salim, M. Benchohra, J. E. Lazreg

Trends in Mathematics, chapter 22, Birkhäuser, Cham, 2023


On implicit k-generalized ψ-Hilfer fractional differential coupled systems with periodic conditions


A. Salim, M. Benchohra, J. E. Lazreg

Qual. Theory Dyn. Syst., vol. 22(75), 2023, 46 pages


On k-generalized ψ-Hilfer impulsive boundary value problem with retarded and advanced arguments in Banach spaces


A. Salim, M. Benchohra, J. E. Lazreg, Y. Zhou

J. Nonl. Evol. Equ. Appl., vol. 2022(6), 2023, pp. 105-126


Caputo fractional q-difference equations in Banach spaces


A. Salim, S. Abbas, M. Benchohra, J. E. Lazreg

J. Innov. Appl. Math. Comput. Sci., vol. 3(1), 2023, pp. 1-14


A study on k-generalized ψ-Hilfer fractional differential equations with periodic integral conditions


A. Salim, S. Bouriah, M. Benchohra, J. E. Lazreg, E. Karapinar

Math. Methods Appl. Sci., 2023, pp. 1-18


On Caputo tempered implicit fractional differential equations in b-metric spaces


A. Salim, S. Krim, J. E. Lazreg, M. Benchohra

Analysis, vol. 43(2), 2023, pp. 129-139


On implicit boundary value problems with deformable fractional derivative and delay in $b$-metric spaces


A. Salim, S. Krim, M. Benchohra

Appl. Anal. Optim., vol. 7, 2023, pp. 1-16


Three-point boundary value problems for implicit Caputo tempered fractional differential equations in $b$-metric spaces


A. Salim, S. Krim, M. Benchohra

Eur. J. Math. Appl., vol. 3(16), 2023, pp. 1-13


On deformable implicit fractional differential equations in $b$-metric spaces


A. Salim, S. Krim, S. Abbas, M. Benchohra

J. Math. Ext., vol. 17(1), 2023, pp. 1-17


Random solutions for generalized Caputo periodic and non-local boundary value problems


B. Ahmad, M. Boumaaza, A. Salim, M. Benchohra

Foundations, vol. 3(2), 2023, pp. 275-289


Weak solutions for fractional Langevin equations involving two fractional orders in banach spaces


C. Derbazi, H. Hammouche, A. Salim, M. Benchohra

Afr. Mat., vol. 34, 2023, 10 pages


On periodic solutions for some nonlinear fractional pantograph problems with $\Psi$-Hilfer derivative


D. Benzenati, S. Bouriah, A. Salim, M. Benchohra

Lobachevskii J Math., vol. 44, 2023, pp. 1264-1279


On boundary value problems with implicit random non-conformable fractional differential equations


F. Bekada, A. Salim

Sarajevo J. Math., vol. 19(2), 2023, pp. 227–239


Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces


I. Hammoumi, H. Hammouche, A. Salim, M. Benchohra

Rend. Circ. Mat. Palermo (2)., 2023, pp. 1-14


On nonlinear periodic problems with Caputo's exponential fractional derivative


M. Chohri, S. Bouriah, A. Salim, M. Benchohra

ATNAA., vol. 7, 2023, pp. 103-120


Fixed point approach for nonlinear $\psi$-Caputo ­fractional differential hybrid coupled system with ­periodic boundary conditions


M. M. Matar, S. Ayadi, J. Alzabut, A. Salim

Results Nonlinear Anal., vol. 6(4), 2023, pp. 13-29


Caputo-Fabrizio fractional hybrid differential equations via new Dhage iteration method


N. Benkhettou, A. Salim, J. E. Lazreg, S. Abbas, M. Benchohra

J. Appl. & Pure Math., vol. 5(3-4), 2023, pp. 211-222


Lakshmikantham monotone iterative principle for hybrid Atangana-Baleanu-Caputo fractional differential equations


N. Benkhettou, A. Salim, J. E. Lazreg, S. Abbas, M. Benchohra

Annals of West University of Timisoara Mathematics and Computer Science, vol. 59(1), 2023, pp. 79-91


On implicit Caputo tempered fractional boundary value problems with delay


S. Krim, A. Salim, M. Benchohra

Lett. Nonlinear Anal. Appl., vol. 1, 2023, pp. 12-29


Implicit Caputo-Katugampola fractional problems with infinite delay and impulses


S. Krim, A. Salim, S. Abbas, M. Benchohra

Lett. Nonlinear Anal. Appl., vol. 1(4), 2023, pp. 164-175


Functional k-generalized Ψ-Hilfer fractional differential equations in b-metric spaces


S. Krim, A. Salim, S. Abbas, M. Benchohra

Pan-American Journal of Mathematics , vol. 2, 2023, 10 pages


A study on some conformable fractional problems with delay in $b$-metric spaces


S. Krim, A. Salim, S. Abbas, M. Benchohra

Lett. Nonlinear Anal. Appl., vol. 1(4), 2023, pp. 139-149


Existence and stability results for implicit impulsive convex combined Caputo fractional differential equations


W. Rahou, A. Salim, J. E. Lazreg, M. Benchohra

An. Univ. Craiova Ser. Mat. Inform., vol. 50(2), 2023, pp. 404-426


On impulsive implicit Riesz-Caputo fractional differential equations with retardation and anticipation in Banach spaces


W. Rahou, A. Salim, J. E. Lazreg, M. Benchohra

Facta Univ. Ser. Math. Inform., vol. 38(3), 2023, pp. 535-558


On fractional differential equations with Riesz-Caputo derivative and non-instantaneous impulses


W. Rahou, A. Salim, J. E. Lazreg, M. Benchohra

Sahand Commun. Math. Anal., vol. 20(3), 2023, pp. 109-132


Implicit Caputo tempered fractional differential boundary value problems with infinite delay in Banach spaces


W. Rahou, A. Salim, J. E. Lazreg, M. Benchohra

J. Math. Ext., vol. 17(6), 2023, pp. 1-28


Existence and stability results for impulsive implicit fractional differential equations with delay and Riesz–Caputo derivative


W. Rahou, A. Salim, J. E. Lazreg, M. Benchohra

Mediterr. J. Math., vol. 20(143), 2023


Uniqueness results for fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces


Z. Bouteffal, A. Salim, S. Litimein, M. Benchohra

Annals of West University of Timisoara Mathematics and Computer Science, vol. 59(1), 2023, pp. 35-44


2022


Functional integro-differential equations with state-dependent delay and non-instantaneous impulsions: existence and qualitative results


A. Bensalem, A. Salim, M. Benchohra, G. N'Guérékata

Fractal Fract., vol. 6, 2022, pp. 1-27


Fractional partial random differential equations with infinite delay


A. Heris, A. Salim, M. Benchohra, E. Karapinar

Results in Physics., 2022


Boundary Value Problem for Hybrid Generalized Hilfer Fractional Differential Equations


A. Salim, B. Ahmad, M. Benchohra, J. E. Lazreg

Differ. Equ. Appl., vol. 14, 2022, pp. 379-391


On impulsive implicit ψ-Caputo hybrid fractional differential equations with retardation and anticipation


A. Salim, J. Alzabut, W. Sudsutad, C. Thaiprayoon

Mathematics., vol. 10, 2022, 20 pages


A Study on k-Generalized ψ-Hilfer Derivative Operator


A. Salim, J. E. Lazreg, B. Ahmad, M. Benchohra, J. J. Nieto

Vietnam J. Math., 2022


Existence and Uniqueness Results for Generalized Caputo Iterative Fractional Boundary Value Problems


A. Salim, M. Benchohra

Fract. Differ. Calc., vol. 12, 2022, pp. 197-208


Nonlocal k-generalized ψ-Hilfer impulsive initial value problem with retarded and advanced arguments


A. Salim, M. Benchohra, J. E. Lazreg

Appl. Anal. Optim., vol. 6, 2022, pp. 21-47


Existence and k-Mittag-Leffler-Ulam-Hyers stability results of k-generalized ψ-Hilfer boundary value problem


A. Salim, M. Benchohra, J. E. Lazreg, G. N'Guérékata

Nonlinear Studies., vol. 29, 2022, pp. 359–379


On k-generalized ψ-Hilfer boundary value problems with retardation and anticipation


A. Salim, M. Benchohra, J. E. Lazreg, J. Henderson

Advances in the Theory of Nonlinear Analysis and its Application, vol. 6, 2022, pp. 173-190


Initial value problem for hybrid ψ-Hilfer fractional implicit differential equations


A. Salim, M. Benchohra, J. R. Graef, J. E. Lazreg

J. Fixed Point Theory Appl., vol. 24, 2022, 14 pages


Random solutions for mixed fractional differential equations with retarded and advanced arguments


A. Salim, M. Boumaaza, M. Benchohra

J. Nonlinear Convex Anal., vol. 23, 2022, pp. 1361-1375


A Filippov's theorem and topological structure of solution sets for fractional q-difference inclusions


A. Salim, S. Abbas, M. Benchohra, E. Karapinar

Dynam. Systems Appl., vol. 31, 2022, pp. 17-34


Global stability results for Volterra-Hadamard random partial fractional integral equations


A. Salim, S. Abbas, M. Benchohra, E. Karapinar

Rend. Circ. Mat. Palermo (2)., 2022, pp. 1-13


Measure of noncompactness and fractional Hybrid differential equations with Hybrid conditions


C. Derbazi, H. Hammouche, A. Salim, M. Benchohra

Differ. Equ. Appl., vol. 14, 2022, pp. 145-161


Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem


J. E. Lazreg, M. Benchohra, A. Salim

J. Innov. Appl. Math. Comput. Sci., vol. 2, 2022, pp. 1-13


Controllability of second order functional random differential equations with delay


M. Benchohra, F. Bouazzaoui, E. Karapinar, A. Salim

Mathematics., vol. 10, 2022, 16 pages


Non-instantaneous impulsive fractional integro-differential equations with state-dependent delay


N. Benkhettou, A. Salim, K. Aissani, M. Benchohra, E. Karapinar

Sahand Commun. Math. Anal., vol. 19, 2022, pp. 93-109


Controllability of fractional integro-differential equations with infinite delay and non-instantaneous impulses


N. Benkhettou, K. Aissani, A. Salim, M. Benchohra, C. Tunc

Appl. Anal. Optim., vol. 6, 2022, pp. 79-94


On implicit fractional q-difference equations: Analysis and stability


N. Laledj, A. Salim, J. E. Lazreg, S. Abbas, B. Ahmad, M. Benchohra

Math. Methods Appl. Sci., vol. 45(17), 2022, pp. 10775-10797


On implicit impulsive conformable fractional differential equations with infinite delay in b-metric spaces


S. Krim, A. Salim, S. Abbas, M. Benchohra

Rend. Circ. Mat. Palermo (2)., 2022, pp. 1-14


2021


On k-generalized ψ-Hilfer impulsive boundary value problem with retarded and advanced arguments


A. Salim, M. Benchohra, J. E. Lazreg, E. Karapinar

J. Math. Ext., vol. 15, 2021, pp. 1-39


Boundary value problem for nonlinear implicit generalized Hilfer-type fractional differential equations with impulses


A. Salim, M. Benchohra, J. E. Lazreg, G. N'Guérékata

Abstr. Appl. Anal., vol. 2021, 2021, 17 pages


Nonlocal initial value problem for hybrid generalized Hilfer-type fractional implicit differential equations


A. Salim, M. Benchohra, J. E. Lazreg, J. J. Nieto, Y. Zhou

Nonauton. Dyn. Syst., vol. 8, 2021, pp. 87-100


Boundary value problem for fractional generalized Hilfer-type fractional derivative with non-instantaneous impulses


A. Salim, M. Benchohra, J. R. Graef, J. E. Lazreg

Fractal Fract., vol. 5, 2021, pp. 1-21


2020


Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations


A. Salim, M. Benchohra, E. Karapinar, J. E. Lazreg

Adv. Differ. Equ., vol. 2020, 2020, 21 pages


Nonlinear implicit generalized Hilfer-type fractional differential equations with non-instantaneous impulses in Banach spaces


A. Salim, M. Benchohra, J. E. Lazreg, J. Henderson

Advances in the Theory of Nonlinear Analysis and its Application, vol. 4, 2020, pp. 332-348


Books




Fractional Differential Equations: A Coincidence Degree Approach


Mouffak Benchohra, Soufyane Bouriah, Abdelkrim Salim, Yong Zhou

Fractional Calculus in Applied Sciences and Engineering, vol. 12, De Gruyter , 2024




Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability


Saïd Abbas, Bashir Ahmad, Mouffak Benchohra, Abdelkrim Salim

Morgan Kaufmann Publishers, Elsevier, 2024




Advanced Topics in Fractional Differential Equations: A Fixed Point Approach


Mouffak Benchohra, Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim

Synthesis Lectures on Mathematics & Statistics, 1st ed. 2023, Springer Cham, 2023




Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives


Mouffak Benchohra, Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim

Synthesis Lectures on Mathematics & Statistics, 1st ed. 2023, Springer Cham, 2023


Ph.D. thesis


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