Department
Mathematics Department
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University of M'Sila, Algeria
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Recent Publications
THE FUNDAMENTAL AND GLOBAL EXISTENCE OF SOLUTIONSTO A GENERALIZED NONLINEAR FRACTIONAL DIFFUSIONEQUATION WITH GRADIENT NONLINEARITY
Citation
M. ARIOUA Yacine, (2025-11-25), "THE FUNDAMENTAL AND GLOBAL EXISTENCE OF SOLUTIONSTO A GENERALIZED NONLINEAR FRACTIONAL DIFFUSIONEQUATION WITH GRADIENT NONLINEARITY", [international] Journal of Mathematical Sciences , Springer Nature Switzerland
Homotopy Perturbation ρ-Laplace Transform Approach for Numerical Simulation of Fractional Navier-Stokes Equations
Citation
M. ARIOUA Yacine, (2025-03-18), "Homotopy Perturbation ρ-Laplace Transform Approach for Numerical Simulation of Fractional Navier-Stokes Equations", [international] Contemporary Mathematics , Universal Wiser Publisher
Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method
Citation
M. ARIOUA Yacine, (2024-12-31), "Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method", [national] Fractal Fract , MDPI
LOCAL EXISTENCE FOR AN INTEGRO-DIFFERENTIAL DIFFUSION EQUATION WITH NONLOCAL NONLINEARITIES
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M. ARIOUA Yacine, (2024-12-07), "LOCAL EXISTENCE FOR AN INTEGRO-DIFFERENTIAL DIFFUSION EQUATION WITH NONLOCAL NONLINEARITIES", [national] 4th National Conference of Mathematics and Applications (CNMA – 2024) , University Center of Mila, Algeria
The Local Existence of Solution to Caputo Katugampola Fractional Integro-differential Equation
Citation
M. ARIOUA Yacine, (2024-09-02), "The Local Existence of Solution to Caputo Katugampola Fractional Integro-differential Equation", [international] 3rd international symposium on current developments in fondamental and applied mathematics sciences , Turkey
The Blow-Up Existence of Solution to Caputo–Katugampola Fractional Partial Differential Equation with Fractional Laplace
Citation
M. ARIOUA Yacine, (2024-05-14), "The Blow-Up Existence of Solution to Caputo–Katugampola Fractional Partial Differential Equation with Fractional Laplace", [national] 1st International Conference on Nonlinear Mathematical Analysis and its Applications (IC-NMAA'24) , Bordj Bou Arréridj University
Existence of Traveling Profiles Solutions to Porous Medium Equation
Citation
M. ARIOUA Yacine, (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
Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions
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M. ARIOUA Yacine, (2023-05-16), "Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions", [national] Journal of Mathematical Physics, Analysis, Geometry , National Academy of Sciences of Ukraine B.Verkin Institute for Low Temperature Physics and Engineering.
Existence results of self-similar solutions of the space-fractional diffusion equation involving the generalized Riesz-Caputo fractional derivative
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M. ARIOUA Yacine, (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
Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative
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M. ARIOUA Yacine, (2023-03-13), "Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative", [national] Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES , Bulletin, Institute of Mathematics, Academia Sinica
Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative
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M. ARIOUA Yacine, (2023), "Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative", [national] International Journal of Applied and Computational Mathematics , Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Existence And Uniqueness Of Solution For A Mixed-Type Fractional Di¤erential Equation And Ulam-Hyers Stability
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M. ARIOUA Yacine, (2022), "Existence And Uniqueness Of Solution For A Mixed-Type Fractional Di¤erential Equation And Ulam-Hyers Stability", [national] Applied Mathematics E-not , Tsing Hua University Hsinchu, TAIWAN
Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions
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M. ARIOUA Yacine, (2022), "Existence Study of Solutions for a System of n Nonlinear Fractional Differential Equations with Integral Conditions", [national] Journal of Mathematical Physics, Analysis, Geometry , National Academy of Sciences of Ukraine, B.Verkin Institute for Low Temperature Physics and Engineering.
Existence and uniqueness results of self-similar solutions of the space-fractional diffusion equation
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M. ARIOUA Yacine, (2022), "Existence and uniqueness results of self-similar solutions of the space-fractional diffusion equation", [international] 3rd International Conference on Applied Engineering and Natural Sciences , Konya/Turkey
Numerical solutions for linear fractional differential equation with dependence on the Caputo-Hadamard derivative using finite difference method
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M. ARIOUA Yacine, (2022), "Numerical solutions for linear fractional differential equation with dependence on the Caputo-Hadamard derivative using finite difference method", [national] Palestine Journal of Mathematics , Nouressadat Touafek
The numerical solution of the space-time fractional diffusion equation involving the Caputo-Katugampola fractional derivative
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M. ARIOUA Yacine, (2022), "The numerical solution of the space-time fractional diffusion equation involving the Caputo-Katugampola fractional derivative", [national] Numerical Algebra, Control and Optimization , Bulent Karasozen
Boundary Value Problem For A Coupled System Of Nonlinear Fractional Differential Equations Involving Erdélyi-Kober Derivative
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M. ARIOUA Yacine, (2021), "Boundary Value Problem For A Coupled System Of Nonlinear Fractional Differential Equations Involving Erdélyi-Kober Derivative", [national] Applied mathematics E-Notes , China
Boundary value problem for nonlinear fractional differential equations involving Erd´elyi–Kober derivative on unbounded domain
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M. ARIOUA Yacine, (2021), "Boundary value problem for nonlinear fractional differential equations involving Erd´elyi–Kober derivative on unbounded domain", [national] Annals of the University of Craiova, Mathematics and Computer Science Series , University of Craiova
ON CRITERIA OF EXISTENCE FOR NONLINEAR KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS WITH p–LAPLACIAN OPERATOR
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M. ARIOUA Yacine, (2021), "ON CRITERIA OF EXISTENCE FOR NONLINEAR KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS WITH p–LAPLACIAN OPERATOR", [national] Fractional Differential Calculus , www.ele-math.com
Existence results for nonlinear Katugampola fractional differential equations with an integral condition
Citation
M. ARIOUA Yacine, (2020), "Existence results for nonlinear Katugampola fractional differential equations with an integral condition", [national] Acta Mathematica Universitatis Comenianae , Comenius University, 842 48 Bratislava, Slovak Republic
UNBOUNDED SOLUTION OF BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-TYPE ERDELYI KOBER FRACTIONAL DIFFERENTIAL EQUATION ON THE HALF-LINE
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M. ARIOUA Yacine, (2020), "UNBOUNDED SOLUTION OF BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-TYPE ERDELYI KOBER FRACTIONAL DIFFERENTIAL EQUATION ON THE HALF-LINE", [international] Dynamic of Continuous Discrete and Impulsive Systems Serie A , Watam Press , Canada
Fractional Differential Equations of Caputo- Katugampola Type and numerical Solutions
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M. ARIOUA Yacine, (2019-11-21), "Fractional Differential Equations of Caputo- Katugampola Type and numerical Solutions", [international] RAMA 11 , Sidi Bel Abbès
Initial Value Problem For Nonlinear Implicit Fractional Differential Equations With Katugampola
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M. ARIOUA Yacine, (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. ARIOUA Yacine, (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
Initial Value Problem for a Coupled System of Katugampola-Type Fractional Differential Equations
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M. ARIOUA Yacine, (2019), "Initial Value Problem for a Coupled System of Katugampola-Type Fractional Differential Equations", [national] Advances in Dynamical Systems and Applications , Research India Publications
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
Citation
M. ARIOUA Yacine, (2019), "New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative", [national] Communications in Mathematics , University of Ostrava, Czech Republic
BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS
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M. ARIOUA Yacine, (2017), "BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS", [international] Surveys in Mathematics and its Applications , Bucharest University, Romania
Existence results for nonlinear fractional differential equations with Caputo-Hadamard derivative
Citation
M. ARIOUA Yacine, (2017), "Existence results for nonlinear fractional differential equations with Caputo-Hadamard derivative", [national] Mathématiques en images, MI’2017 , Université de M'sila
Boundary value problem for Caputo-Katugampola fractional differential equations
Citation
M. ARIOUA Yacine, (2017), "Boundary value problem for Caputo-Katugampola fractional differential equations", [national] Journeés doctoral JDO2017 , Université de M'sila
Existence of general self similar solution to porous medium equation
Citation
M. ARIOUA Yacine, (2016), "Existence of general self similar solution to porous medium equation", [international] International Arab Conference on Mathematics and Computations (2016), , Zarqa University, Jordan
Traveling profiles solutions to heat equation with a power-law nonlinearity
Citation
M. ARIOUA Yacine, (2016), "Traveling profiles solutions to heat equation with a power-law nonlinearity", [national] Congrès des Mathématiciens Algériens CMA'2016 , Université de Batna
Solutions de l'équation des milieux poreux par la méthode des profiles mobiles
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M. ARIOUA Yacine, (2012), "Solutions de l'équation des milieux poreux par la méthode des profiles mobiles", [national] Congrès des Mathématiciens Algériens CMA'2012 , Université de Annaba
New Method for Constructing Exact Solutions to Nonlinear PDEs
Citation
M. ARIOUA Yacine, (2009), "New Method for Constructing Exact Solutions to Nonlinear PDEs", [national] International Journal of Nonlinear Science , World Academic Press, World Academic Union, England, UK
New exact solutions to porous medium equation with traveling wavelets in one dimension
Citation
M. ARIOUA Yacine, (2007), "New exact solutions to porous medium equation with traveling wavelets in one dimension", [international] 2ièm colloque internationale sur l'analyse non linéaire et applications (ANL'07) , Université de Sétif
Etude de l'équation de Fujita par la méthode des Ondelettes mobiles
Citation
M. ARIOUA Yacine, (2006), "Etude de l'équation de Fujita par la méthode des Ondelettes mobiles", [international] Rencontre internationale d'analyse mathématique et ses applications (RAMA V) , Université de M'sila
Participation in the CIMPA-UNSA-UNESCO school
Citation
M. ARIOUA Yacine, (2005), "Participation in the CIMPA-UNSA-UNESCO school", [international] Financial markets modeling , University of Irbid, Jordan
