M. BOUCHAMA Kaouther

MCB

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Department

Department of Financial and Accounting Sciences

Research Interests

Specialized in Department of Financial and Accounting Sciences . Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : kaouther.bouchama@univ-msila.dz

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Recent Publications

2023

Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative

In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard derivative. To do so, we have used a
finite difference method. The Convergence and stability of the given finite difference scheme are studied using the mathematical induction technique. Moreover, Numerical examples are
given to demonstrate the effectiveness of our results.
Citation

M. BOUCHAMA Kaouther, (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.

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2022-05-04

Numerical solution for the space-time fractional linear diffusion quation involving the Caputo-Hadamard fractional derivative.

In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard derivative. To do so, we have used a

finite difference method. The Convergence and stability of the given finite difference scheme are studied using the mathematical induction technique. Moreover, Numerical examples are
given to demonstrate the effectiveness of our results.
Citation

M. BOUCHAMA Kaouther, (2022-05-04), "Numerical solution for the space-time fractional linear diffusion quation involving the Caputo-Hadamard fractional derivative.", [international] INTERNATIONAL E-CONFERENCE ON PURE AND APPLIED MATHEMATICAL SCIENCES (ICPAMS-2022). , Tunisie

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2022

The numerical solution of the space-time fractional diffusion equation involving the Caputo-Katugampola fractional derivative

In this paper, a numerical approximation solution of a space-time fractional diffusion equation (FDE), involving Caputo-Katugampola fractional derivative is considered. Stability and convergence of the proposed scheme are discussed using mathematical induction. Finally, the proposed method is validated through numerical simulation results of different examples.
Citation

M. BOUCHAMA Kaouther, (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

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Numerical solutions for linear fractional differential equation with dependence on the Caputo-Hadamard derivative using finite difference method

The main objective of this paper is to find accurate solutions for linear fractional differential equations involving the fractional Caputo-Hadamard derivative of order α > 0. Therefore, to achieve this objective, a new method called the Finite Fractional Difference Method (FFDM) is employed to find the numerical solution. As such, the convergence and stability of
the numerical scheme is discussed and illustrated by solving two linear fractional differential equation problems of order 0 < α<=1 to show the validity of our method.
Citation

M. BOUCHAMA Kaouther, (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

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2021-10-27

Finite difference approximations for the space-time Riesz-Caputo-Katugampola Fractional Derivative diffusion Equation.

In this paper, a numerical approximation solution of a space-time fractional diffusion equation (FDE), involving Riesz-Caputo-Katugampola fractional derivative is considered. Stability and convergence of the proposed scheme are discussed using mathematical induction. Finally, the proposed method is validated through numerical simulation results of different examples.
Citation

M. BOUCHAMA Kaouther, (2021-10-27), "Finite difference approximations for the space-time Riesz-Caputo-Katugampola Fractional Derivative diffusion Equation.", [national] Congrès des Mathématiciens Algériens MCMA’2021. , M'sila

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2021-06-07

Numerical solutions for linear fractional differential equations with dependence on the Caputo-Hadamard derivative of ordre ALFA using finite difference method.

The main objective of this paper is to find accurate solutions for linear fractional differential equations involving the fractional Caputo-Hadamard derivative of order α > 0: Therefore, to achieve this objective, a new method called the Finite Fractional Difference Method (FFDM) is employed to find the numerical solution. As such, the convergence and stability of
the numerical scheme is discussed and illustrated by solving two linear fractional differential equation problems of order 0 < α 6 1 to show the validity of our method.
Citation

M. BOUCHAMA Kaouther, (2021-06-07), "Numerical solutions for linear fractional differential equations with dependence on the Caputo-Hadamard derivative of ordre ALFA using finite difference method.", [international] INTERNATIONAL E-CONFERENCE ON PURE AND APPLIED MATHEMATICAL SCIENCES (ICPAMS-2021) , Tunisie

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2021-05-26

Fractional Differential Equations of Caputo-HadamardType And Numerical Solutions.

This paper is concerned with a numerical method for solving generalized fractional differential equation of Caputo-Hadamard derivative. A corresponding discretization technique is proposed. Numerical solutions are obtained and convergence of numerical formula is discussed. The convergence speed arrives at O(h1−α) . Numerical examples are given to test the accuracy.
Citation

M. BOUCHAMA Kaouther, (2021-05-26), "Fractional Differential Equations of Caputo-HadamardType And Numerical Solutions.", [international] 1st International Conference on Pure and Applied Mathematics . , Ouargla

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2021-02-05

Solution of Fractional Differential Equation Involving Hadamard Derivative

The objective of this work is to investigate diverse approaches for obtaining approximate solutions to Fractional Differential Equations involving the Hadamard derivative. In our study, we particularly highlight the Adomian Decomposition Method (ADM), the Homotopy Perturbation Method (HPM), and the Iterative Decomposition Method (IDM) as intriguing methods under exploration.
Citation

M. BOUCHAMA Kaouther, (2021-02-05), "Solution of Fractional Differential Equation Involving Hadamard Derivative", [international] SÉMINAIRE INTERNATIONAL SUR LES MATHEMATIQUES ET L’INFORMATIQUE , Oran

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2019-11-21

Fractional Differential Equations of Caputo- Katugampola Type and numerical Solutions

The objective of this present work is to study various approaches to the numerical solution of fractional partial differential equations (FPDEs) of the Caputo-Katugampola type. Among the intriguing methods explored in our study, we emphasize the Adomian Decomposition Method (ADM), the Homotopy Perturbation Method (HPM), and the Iterative Decomposition Method (IDM).
Citation

M. BOUCHAMA Kaouther, (2019-11-21), "Fractional Differential Equations of Caputo- Katugampola Type and numerical Solutions", [international] RAMA 11 , Sidi Bel Abbès

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2018

Resolution numerique de edf de type Katugampola-Caputo .

L’objectif de ce présent travail est d’étudier les différentes approches de la résolution numérique des équations aux dérivées partielles fractionnaires (EDF) de type Katugampola-caputo. La dérivation fractionnaire prise beaucoup d’importance dans différents domaines de la recherche scientifique pour des raisons principales réside dans ses applications dans de nombreuses disciplines physiques, chimiques, …été. Le calcul fractionnaire reste un moyen très adapté pour la résolution des systèmes différentiels. Récemment, plusieurs recherches ont été penchées sur les méthodes numériques pour arriver à approximer les solutions de ces équations. Parmi ces méthodes intéressantes dans notre étude, on distingue, la méthode de la décomposition d'Adomian (ADM), la méthode de perturbation de l'Homotopie(HPM) et la méthode de décomposition itérative (IDM).
Citation

M. BOUCHAMA Kaouther, (2018), "Resolution numerique de edf de type Katugampola-Caputo .", [national] Workshops on Pure and Applied Mathematics . , M'sila

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