M. BENHAMIDOUCHE Noureddine

Prof

Directory of teachers

Department

Mathematics Department

Research Interests

Partial differential equations and applications PDEs and image processing

Contact Info

University of M'Sila, Algeria

Email : noureddine [dot] benhamidouche [at] univ-msila [dot] dz

On the Web:

Recent Publications

2025-09-09

On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients

Citation

M. BENHAMIDOUCHE Noureddine, (2025-09-09), "On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients", [national] Mathematical Methods in the Applied Sciences , Wiley Wiley

On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients

Citation

M. BENHAMIDOUCHE Noureddine, (2025-09-09), "On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients", [national] Mathematical Methods in the Applied Sciences , Wiley Wiley

2025-02-28

ON THE EXISTENCE AND UNIQUENESS OF TH WEAK SOLUTION TO SPATIAL FRACTIONAL NONLINEAR DIFFUSION EQUATION RELATED TO IMAGE PROCESSING

Citation

M. BENHAMIDOUCHE Noureddine, (2025-02-28), "ON THE EXISTENCE AND UNIQUENESS OF TH WEAK SOLUTION TO SPATIAL FRACTIONAL NONLINEAR DIFFUSION EQUATION RELATED TO IMAGE PROCESSING", [national] MATHEMATICA SCANDINAVICA , Institut for Matematik Aarhus Universitet

2025-02-02

Mathematical Exploration of Malaria Transmission Dynamics: Insights from Fractional Models and Numerical Simulation

Citation

M. BENHAMIDOUCHE Noureddine, (2025-02-02), "Mathematical Exploration of Malaria Transmission Dynamics: Insights from Fractional Models and Numerical Simulation", [national] Advanced Theory and Simulations , © Wiley-VCH GmbH, Weinheim

2024-12-14

ADDITIVE OPERATOR SPLITTING SCHEME FOR A GENERAL MEAN CURVATURE FLOW AND APPLICATION IN EDGES ENHANCEMENT

Citation

M. BENHAMIDOUCHE Noureddine, (2024-12-14), "ADDITIVE OPERATOR SPLITTING SCHEME FOR A GENERAL MEAN CURVATURE FLOW AND APPLICATION IN EDGES ENHANCEMENT", [national] JOURNAL OF NUMERICAL ANALYSIS AND APPROXIMATION THEORY , Tiberiu Popoviciu Institute of Numerical Analysis

2024-10-10

SELF-SIMILAR SOLUTIONS FOR A NEW FREE-BOUNDARY PROBLEM AND IMAGE CONTOUR ENHANCEMENT

Citation

M. BENHAMIDOUCHE Noureddine, (2024-10-10), "SELF-SIMILAR SOLUTIONS FOR A NEW FREE-BOUNDARY PROBLEM AND IMAGE CONTOUR ENHANCEMENT", [national] Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms , Watam Press

2023-12-21

Existence of Traveling Profiles Solutions to Porous Medium Equation

Citation

M. BENHAMIDOUCHE Noureddine, (2023-12-21), "Existence of Traveling Profiles Solutions to Porous Medium Equation", [national] Journal officiel Mathematics and Application , Publishing House of Rzeszów University of Technology P.O. Box 85, 35-959 Rzeszów, Poland

2023-10-25

les mathématiques et les enjeux du developpment technologique

Citation

M. BENHAMIDOUCHE Noureddine, (2023-10-25), "les mathématiques et les enjeux du developpment technologique", [national] Mathematics and society , U.Msila - ENS Boussada

2023-10-15

La modélisation mathématique aux service du developpment technologique

Citation

M. BENHAMIDOUCHE Noureddine, (2023-10-15), "La modélisation mathématique aux service du developpment technologique", [national] National conference on mathematics and applications , Université de Setif

2023-05-06

THEORETICAL STUDIES ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A MULTIDIMENSIONAL NONLINEAR TIME AND SPACE-FRACTIONAL REACTION-DIFFUSION/WAVE EQUATION

Citation

M. BENHAMIDOUCHE Noureddine, (2023-05-06), "THEORETICAL STUDIES ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A MULTIDIMENSIONAL NONLINEAR TIME AND SPACE-FRACTIONAL REACTION-DIFFUSION/WAVE EQUATION", [national] Memoirs on Differential Equations and Mathematical Physics , Razmadze Mathematical Institute.

2023-04-03

Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative

Citation

M. BENHAMIDOUCHE Noureddine, (2023-04-03), "Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative", [national] Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica , Sciendo

2022

Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order

Citation

M. BENHAMIDOUCHE Noureddine, (2022), "Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order", [national] Advances in the Theory of Nonlinear Analysis and its Application, , e-ISSN: 2587-2648 Founded: 2017 Period: Quarterly Publisher: Erdal KARAPINAR

Existence Of Traveling Wave Solutions For A Free Boundary Problem Of Higher-Order Space-Fractional Wave Equations

Citation

M. BENHAMIDOUCHE Noureddine, (2022), "Existence Of Traveling Wave Solutions For A Free Boundary Problem Of Higher-Order Space-Fractional Wave Equations", [national] Applied Mathematics E-Notes, , http://www.math.nthu.edu.tw/amen

Sur la modélisation mathématique en Biologie

Citation

M. BENHAMIDOUCHE Noureddine, (2022), "Sur la modélisation mathématique en Biologie", [national] Journnée Modélisation Mathématique en biologie , Universite de msila

2021

Singularités et contours

Citation

M. BENHAMIDOUCHE Noureddine, (2021), "Singularités et contours", [national] Journnée International de Mathématiques, SMA 2021. , Alger

2020

Existence results of self similar solutions to the caputo-types space-fractional heat equation

Citation

M. BENHAMIDOUCHE Noureddine, (2020), "Existence results of self similar solutions to the caputo-types space-fractional heat equation", [national] surveys in Mathematics and its applications , http:/www.utgjiu.ro/math/sma

Existence Results for Nonlinear Katugampola Fractional Differential Equations with an Integral Condition

Citation

M. BENHAMIDOUCHE Noureddine, (2020), "Existence Results for Nonlinear Katugampola Fractional Differential Equations with an Integral Condition", [national] Acta Math. Univ. Comenianae , http://www.math.nthu.edu.tw/amen/

Global Existence and Blow-up of Generalized Self-Similar Solutions to Nonlinear Degenerate Diffusion Equation Not in Divergence Form

Citation

M. BENHAMIDOUCHE Noureddine, (2020), "Global Existence and Blow-up of Generalized Self-Similar Solutions to Nonlinear Degenerate Diffusion Equation Not in Divergence Form", [national] Applied Mathematics E-Notes, , http://www.math.nthu.edu.tw/amen/

2019

Initial Value Problem For Nonlinear Implicit Fractional Differential Equations With Katugampola

Citation

M. BENHAMIDOUCHE Noureddine, (2019), "Initial Value Problem For Nonlinear Implicit Fractional Differential Equations With Katugampola", [national] Applied Mathematics E-Notes , Tsing Hua University Hsinchu, TAIWAN

Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

Citation

M. BENHAMIDOUCHE Noureddine, (2019), "Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations", [national] Journal of Mathematics and Applications , Publishing House of Rzeszow University of Technology, Poland

New exact solutions to nonlinear diffusion equation that occurs in image processing

Citation

M. BENHAMIDOUCHE Noureddine, (2019), "New exact solutions to nonlinear diffusion equation that occurs in image processing", [national] International Journal of Computing Science and Mathematics , IJCSM - Inderscience Publishers

Modèles mathématiques de contours d’image

Citation

M. BENHAMIDOUCHE Noureddine, (2019), "Modèles mathématiques de contours d’image", [national] la 9ème édition du colloque Tendances dans les Applications Mathématiques en Tunisie Algérie Maroc , Tlemcen

2018

Travelling profile solutions for nonlinear degenerate parabolic equation and contour enhancement in image processing

Citation

M. BENHAMIDOUCHE Noureddine, (2018), "Travelling profile solutions for nonlinear degenerate parabolic equation and contour enhancement in image processing", [national] Appl. Math. E-Notes , Official Website http://www.math.nthu.edu.tw/~amen/

2017

BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS

Citation

M. BENHAMIDOUCHE Noureddine, (2017), "BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS", [international] Surveys in Mathematics and its Applications , Bucharest University, Romania

2011

Bayesian estimation of the self-similarity exponent of the Nile River

Citation

M. BENHAMIDOUCHE Noureddine, (2011), "Bayesian estimation of the self-similarity exponent of the Nile River", [national] Nonlinear Processes in Geophysics , EGU

2009

New Method for Constructing Exact Solutions to Nonlinear PDEs

Citation

M. BENHAMIDOUCHE Noureddine, (2009), "New Method for Constructing Exact Solutions to Nonlinear PDEs", [national] International Journal of Nonlinear Science , World Academic Press, World Academic Union, England, UK

2008

Exact solutions to some nonlinear PDEs, travelling profile method

Citation

M. BENHAMIDOUCHE Noureddine, (2008), "Exact solutions to some nonlinear PDEs, travelling profile method", [national] Electronic Journal of Qualitative Theory of Differential Equations , Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences

1999

Traveling Wavelets approach to the Gravitational Instability theory

Citation

M. BENHAMIDOUCHE Noureddine, (1999), "Traveling Wavelets approach to the Gravitational Instability theory", [national] Monthly Notices of the Royal Astronomical Society , Oxford Academic

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