Curriculum Vitae Ahcene MERAD

Prof.  Ahcene MERAD

Professor, Department of Mathematics, Laboratory of Dynamical Systems and Control, University of Oum El Bouaghi, Algeria.

E-mail: achene.merad@univ-oeb.dz / merad_ahcene@yahoo.fr

Mobile: +213 658536048/ +213773716905

Researcher identity

Google Scholar:  link

ReaserchGate:  link

ORCID: link

Education

Ph.D.’s degree in Analysis,  University of Jijel-Algeria

Magister’s degree in Analysis, University of Jijel-Algeria

D.E.S degree in Algebra, University of Constantine1-Algeria.

Functions and Affiliations

Professor, Department of Mathematics , University of Oum El Bouaghi, Algeria

Head of Laboratory of  Dynamical Systems and Control.

Teaching modules

Analysis1,  Analysis2

Analysis3 , Analysis4

Algebra 2

Numerical Analysis1, Numerical Analysis1

Mathematical physics Equations

Topology

Integral Transformation in Lp

Functional Analysis1, Functional Analysis2.

International publications

Jesus Martin Vaquero and Ahcene Merad, Existence, uniqueness and numerical solution  of a fractional PDE with integral conditions, Nonlinear Analysis: Modelling and Control,Vol. 24, No. 3, 368–386,(2019).

Aggoun Karim and Ahcene Merad, On a Class of Caputo Time Fractional Problems with Boundary Integral Condition, Moroccan Journal of Pure and Applied Analysis, Volume 7(3), Pages 400–412,(2021).

Djamila Chergui, Ahcene Merad, Marwan M. Abdeldayem and Archer Heindric, Existence and Uniqueness for Multi-Term Sequential Fractional Integro-Differential Equations with Non-Local Boundary Conditions, Appl. Math. Inf. Sci. 15, No. 3, 271-284 (2021).

Abdelhalim Necib and Ahcene Merad, Laplace Transform and Homotopy Perturbation Methods For Solving The Pseudohyperbolic Integrodifferential  Problems with Purely Integral Conditions Kragujevac Journal of Mathematics, Volume 44(2), Pages 251–272,(2020).

Djamila Chergui, Taki Eddine Oussaeif_and Ahcene Merad, Existence and uniqueness of solutions for nonlinear fractional differential equations depending on lower-order derivative with non-separated type integral boundary conditions, AIMS Mathematics, 4(1): 112–133,(2019).

Djibibe Moussa Zakari and Ahcene Merad, On Solvability of the third pseudo-parabolic fractional equation with purely nonlocal onditiond, Advances in Differential Equations and Control Processes, Volume 23, Number1, , Pages 87-104(2020).

Djibibe Moussa Zakari, Soampa Bangan and Ahcene Merad, Two sided a priori estimates of a mixed problem with boundary integral conditions for a certain parabolic fractional equation, Far East Journal of Mathematical Sciences (FJMS), Volume 127, Number 2, , Pages 79-90 (2020).

Aicha Sakhri and Ahcene Merad, A Problem with second kind’s nonlocal condition for pseudohyperbolic equation, TJMM, 12 No. 1, 37-44(2020).

Saadoune Brahimi, Ahcene Merad and Adem Kilicmen, On the theoretical and numerical aspect of fractional differential equations with purely integral conditions, MPDI-Mathematics 2021, 9, 1987. https://doi.org/10.3390/math9161987.

Ahcene Merad and Jesus Martin Vaquero, Galarkin method for two- dimensional Hyperbolic integrodifferential equation with purely integral conditions, Applied Mathematics and Computation 291 (2016) 386–394.

Ahcene Merad and Samir Hadid , Analytical Solution of non integer extraordinary differential equation via Adomian decomposition method, Malaya Journal of Mathematik, 4(1)( 2016) 126-135.

Ahcene Merad, The combined Laplace transform-Adomian decomposition method for solving nonlocal initial boundary value problems, Pan-American Mathematical Journal, Volume 26(2016), Number 2, 22-37.

A. Merad, Adomian Decomposition Method for Solution of Parabolic Equation to Nonlocal Conditions, Int. J. Contemp. Math. Sciences, Vol 6, , no30, 1491 1496(2011).

A.Merad and A.L. Marhoune, Strong solution for a high order boundary value problem with integral condition, Turkish Journal of Mathematics, 37: 299- 307(2013).

A.Bouziani and Ahcene Merad, The Laplace transform method for one dimensional hyperbolic equation with purely integral conditions, Romanian journal of Mathematics and Computer Science, Volume 3, issue 2, P. 191-204(2013).

A.Bouziani and Ahcene Merad, Numerical Solution for Parabolic Equation with Nonlocal Conditions, Transylvanian Journal of Mathematics and Mechanics, Vol. 2, No. 2, P. 121-127(2013).

Ahcene Merad and A.Bouziani, Solvability the Telegraph Equations with Integral Conditions, TWMS J. App. Eng. Math., Vol. 3, N. 2, pp.245-253(2013).

Ahcene Merad and Abdelfatah Bouziani, A Computational method for integro- differential hyperbolic equation with integral condition, Commun. Fac. Sci. Univ. Ank. Series A1, Volume 62, Number 1, Pages 131-142 (2013).

Ahcene Merad and Abdelfatah Bouziani, Laplace transform technique for  pseudoparabolic equation with nonlocal conditions, Transylvanian Journal of Mathematics and Mechanics, Vol. 5, No. 1, pp. 59-64 (2013).

Ahcene Merad , Approximate solution for high order Equations with Integral Conditions, J. Ana. Num. Theor., Vol 2, No. 2, 1-4 (2014).

Ahcene Merad and A.Bouziani, Numerical Technique for Solving Klein-Gordon Equations with purely Integral Conditions, Mathematica Aeterna, Vol. 4, no. 1, p. 1-11(2014).

Ahcene Merad, Abdelfatah Bouziani, Numerical solutions of  hyperbolic equation with purely integral condition by using Laplace transform method, Palestine Journal of Mathematics, Vol. 4(1), 30–36(2015).

Ahcene Merad, Abdelfatah Bouziani and Cenap Ozel, Inversion Laplace transform for Integrodifferential Parabolic Equation with Purely Nonlocal conditions, Hacettepe Journal of Mathematics and Statistics, Volume44(5)(2015),1087–1097 (ISI Impact Factor 0.433).

Ahcene Merad, Abdelfatah Bouziani, Cenap Ozel and Adem Kilicman, On Solvability of the Integrodifferential hyperbolic Equation with Purely Nonlocal conditions, Acta Mathematica Scientia,(ISI Impact Factor 0.62), Vol.35, issue3, 601- 609 (2015).

Ahcene Merad, Abdelfatah Bouziani and Serkan Araci, Existence and Uniqueness of a Solution for Pseudohyperbolic equation with Nonlocal Boundary Condition, Applied Mathematics and Information Sciences (ISI Impact Factor1.232 ), Vol.9, N. 2, 1-7 (2015).

Samir Hadid and Ahcene Merad, Homotopy Analysis method for solving fractional differential equations, Australian Journal of Basic and Applied Sciences, 9(32) Special 2015, Pages: 233-237.

H Merad, F Merghadi, A. Merad, Exact solution of Klein–Gordon equation in fractional-dimensional space, International Journal of Modern Physics A 36 (33), 2150258,2021.

D. Chergui, A. Merad, S. Pinelas, Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions, Analysis 43 (1), 1-13,2023.

H. Merad, F. Merghadi, A. Merad, Solution of Sakata-Taketani Equation via the Caputo and Riemann-Liouville Fractional Derivatives,Reports on Mathematical Physics 89 (3), 359-370,2022.

K. Aggoun, A. Merad, On a Class of Time Fractional Problems with Mixed Boundary Conditions,Palestine Journal of Mathematics, Vol. 11(Special Issue II), 48–56(2022).

D. Chergui, A. Merad, M.M. Abdeldayem, A Heindric, Existence and Uniqueness for Multi-Term Sequential Fractional Integro-Differential Equations with Non-Local Boundary Conditions Appl. Math 15 (3), 271-284,2021.

International and National Conferences

1.Ahcene Merad, A Study of Hyperbolic Fractional Differential Equation with Purely Integral Condition, African Days on Applied Mathematics, 2-4 nov. 2017, Errachidia-Maroc.

2.Ahcene Merad, Existence  and Uniqueness of Solution For a Fractional Differential Equation  with Integral Conditions, International Workshop On Perspective On High Dimensional Data Analysis, 09-13 Avril 2018,  Marrakesh-Maroc.

3.Ahcene Merad, Participation sans communication oral, First Sharjah International Mathematics Spring School in PDE’s and Numerical Analysis, 25-27 Mars 2017 Sharjah- Emirats Arabes Unis.

4.Ahcene Merad, On the time Fractional  Differential Equations with Integral  Conditions,  Congrès International Sur la Modélisation Mathématique et Analyse Numérique, 16-18 Décemebre 2019  Meknès-Maroc.

5.Ahcene Merad, A Priori Estimates of Solutions for Fractional Differential Equations With Boundary Conditions, Tuniso-Libanese Workshop in Control Theory and Related Fields, 30-31 Octobre 2019 Monastir-Tunis.

6.Ahcene Merad, Solvability of  Fractional Differential Equations with Boundary  Nonlocal Conditions, 30th International Workshop On Operator Theory and Its Applications, 22-26 Juillet 2019 Lisbon-Portugal.

7. Ahcene Merad, On the time Fractional Differential Equation with Integral Condition, International Conference On Differential & Difference Equations & Applications, 01- 05Juillet 2019 Lisbon-Portugal.

8. Ahcene Merad, Existence and Uniqueness of the Strong Solution of the time Fractional  Integrodifferential Equation with Integral Boundary Conditions,  The First Online Conference On Modern  Fractional Calculs and Its Application, 04-06 Decembre 2020 Istambul-Turkey.

9.Ahcene Merad, Variational Iteration Method for solving nonlocal problems, Dixième rencontre d’analyse mathématiques et applications « RAMA 10 », Ouargla 07-11 février 2016.

10.Ahcene Merad Séminaire International de Mathématiques Appliquées et Simulation, Oum El Bouaghi, 22 au 25 avril 2007.

11. Ahcene Merad, Workshop sur les Equation Différentielles, Jijel, 19-24 mai 2007.

12. Ahcene Merad, Workshop sur les Equations Différentielles Abstraite et les Equations Ordinaire, Tlemcen, 23-27 mai 2009.

13. Ahcene Merad, Colloque International sur les Systèmes Dynamiques Distribuées et Contrôle, Oum El Bouaghi, 08-10 novembre 2009.

14. Ahcene Merad Workshop sur les Equations Différentielles Abstraite, Oum El Bouaghi, 17-21 avril 2011.

15.Ahcene Merad, International Conference on Applied Mathematics and Approximation Theory AMAT 2012, May 17-20, Ankara-Turkey 2012.

16. Ahcene Merad, Journées d’Analyse et Approximation d’Equations Aux Dérivées Partielles, Tipaza, 09-11 juin 2012.

17. Ahcene Merad, The Algerian-Turkish International Days on Mathematics, Annaba, 09-11 October 2012.

18. Ahcene Merad, Première Journées Mathématiques et Applications JMAM, Mila 19-21 Octobre 2013.

19. Ahcene Merad, Colloque National sur les EDP et applications, Bordj Bou Arreridj 28 – 29 Octobre 2014.

20. Ahcene Merad, Le premier congrès international sur la Modélisation et le Calcul Scientifique en Ingénierie Mathématique (MOCASIM 2014) à Marrakech-Maroc du 19 au 22 Novembre 2014.

21. Ahcene Merad, La première conférence nationale sur les Systèmes dynamiques, équations différentielles et application, Oum El Bouaghi 10-11 Mars 2015.

22. Ahcene Merad, Cinquième workshop international sur les mathématiques appliquées et la modélisation « WIMAM’2015 », Guelma 25-26, octobre 2015.

23. Ahcene Merad, Troisième journées : Problèmes inverses et applications « JIP’15 », Annaba 26- 28 octobre 2015.

24. Ahcene Merad, International conference on chemistry, physics and mathematics, Cebu- Philippines 30-31 october 2015.

25. Ahcene Merad, A Study of time-fractional order differential equation with purely integral conditions, La première édition du colloque national Mathématiques et Equations différentielle, 28Novembre2018, Université Chadli Bendjdid-El Taref.

26.  Ahcene Merad, Homotopy Perturbation Methods for Solving the Pseudohyperbolic Integrodifferential  Problems with Purely Integral Conditions, Journée d’étude sur les Systèmes Dynamiques et les équations Différentielle, 04 Juillet 2018, Université d’Oum El Bouaghi.

Chapter Books

  1. Ahcene Merad and Abdelfatah Bouziani, A Method of Solution for Integrodifferential Parabolic Equation with purely Integral Conditions, Advances in Applied Mathematics and Approximation Theory, Springer Proceeding in Mathematics and Statistics 41, DOI 10.1007/978-1-4614-6393-1_20, New York (2013).

Interests

  • Interests: PDEs of Hyperbolic Type ,  Nonlocal PDEs, Integro–Differential Equations, PDEs of Parabolic Type,  Fractional Differential Equations, HPM,ADM,VIM, Laplace transform methods

pdf version: Short CV merad ahcene
scopus: Merad, Ahcene – Author details – Scopus Preview

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