Sami H. Altoum
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Sami H. Altoum has a total of 25 co-authors. Here are the top co-authors by number of shared publications:
- Sondos M. Syam
Department of Mathematical Sciences, College of Science, United Arab Emirates University, P.O. Box, 15551, Al Ain, UAE
4 shared publications - Ruhaila Md Kasmani
Institute of Mathematical Sciences, Universiti Malaya, Kuala Lumpur 50603, Malaysia
3 shared publications - Zailan Siri
Institute of Mathematical Sciences, Universiti Malaya, Malaysia
3 shared publications - Al-Nashri Al-Hossain Ahmad
Department of Mathematics
1 shared publication - Awad Musa
Department of Physics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Saudi Arabia
1 shared publication - Chokri Chniti
Department of Mathematics, University College in Al-Qunfudhah, Umm AlQura University, Al-Qunfudhah 28821, Saudi Arabia
1 shared publication
Latest Publications
- 15 April 2025
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 39 (03) , 376-385
A Refined form of the generalized Jensen inequality through an arbitrary function
This article is about a refined form of the generalized Jensen inequality in Riemann sense, which is obtained through a positive integrable function. Then manipulation of certain functions with suitable substitutions in the proposed result enables to establish new refined inequalities for the well-known Hölder, and celebrated Hermite--Hadamard inequalities along with power, and quasi-arithmetic means. Further the proposed result also gives refined estimates to Csiszár divergence and its particular variants.
- 15 April 2025
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 39 (03) , 376-385
A Refined form of the generalized Jensen inequality through an arbitrary function
This article is about a refined form of the generalized Jensen inequality in Riemann sense, which is obtained through a positive integrable function. Then manipulation of certain functions with suitable substitutions in the proposed result enables to establish new refined inequalities for the well-known Hölder, and celebrated Hermite--Hadamard inequalities along with power, and quasi-arithmetic means. Further the proposed result also gives refined estimates to Csiszár divergence and its particular variants.
- Open Access
- 26 February 2024
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 19 (4) , 1-27
A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel
In this paper, we present a novel numerical approach for solving nonlinear problems with a singular kernel. We prove the existence and uniqueness of the solution for these models as well as the uniform convergence of the function sequence produced by our novel approach to the unique solution. Additionally, we offer a closed form and prove these results for a specific class of these problems where the free term is a fractional polynomial, an exponential, or a trigonometric function. These findings are new to the best of our knowledge. To demonstrate the effectiveness of our numerical method and how to apply our theoretical findings, we solved a number of physical problems. Comparisons with various researchers are reported. Findings demonstrate that our approach is more effective and accurate. In addition, compared to methods that address this type of problems, our approach is simple to implement and has lower computing costs.
- 26 February 2024
- Published by ASME International in Journal of Computational and Nonlinear Dynamics
- Vol. 19 (4) , 1-27
Open AccessA New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel
In this paper, we present a novel numerical approach for solving nonlinear problems with a singular kernel. We prove the existence and uniqueness of the solution for these models as well as the uniform convergence of the function sequence produced by our novel approach to the unique solution. Additionally, we offer a closed form and prove these results for a specific class of these problems where the free term is a fractional polynomial, an exponential, or a trigonometric function. These findings are new to the best of our knowledge. To demonstrate the effectiveness of our numerical method and how to apply our theoretical findings, we solved a number of physical problems. Comparisons with various researchers are reported. Findings demonstrate that our approach is more effective and accurate. In addition, compared to methods that address this type of problems, our approach is simple to implement and has lower computing costs.
- Open Access
- 9 November 2023
- Published by Taylor & Francis in Applied Mathematics in Science and Engineering
- Vol. 31 (1)
A novel study for solving systems of nonlinear fractional integral equations
- 9 November 2023
- Published by Taylor & Francis in Applied Mathematics in Science and Engineering
- Vol. 31 (1)
Open AccessA novel study for solving systems of nonlinear fractional integral equations
- Open Access
- 16 July 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (14) , 3132
An Efficient Numerical Approach for Solving Systems of Fractional Problems and Their Applications in Science
In this article, we present a new numerical approach for solving a class of systems of fractional initial value problems based on the operational matrix method. We derive the method and provide a convergence analysis. To reduce computational cost, we transform the algebraic problem produced by this approach into a set of nonlinear equations, instead of solving a system of 2 m × 2 m equations. We apply our approach to three main applications in science: optimal control problems, Riccati equations, and clock reactions. We compare our results with those of other researchers, considering computational time, cost, and absolute errors. Additionally, we validate our numerical method by comparing our results with the integer model when the fractional order approaches one. We present numerous figures and tables to illustrate our findings. The results demonstrate the effectiveness of the proposed approach.- 16 July 2023
- Published by MDPI AG in Mathematics
- Vol. 11 (14) , 3132
Open AccessAn Efficient Numerical Approach for Solving Systems of Fractional Problems and Their Applications in Science
In this article, we present a new numerical approach for solving a class of systems of fractional initial value problems based on the operational matrix method. We derive the method and provide a convergence analysis. To reduce computational cost, we transform the algebraic problem produced by this approach into a set of nonlinear equations, instead of solving a system of 2 m × 2 m equations. We apply our approach to three main applications in science: optimal control problems, Riccati equations, and clock reactions. We compare our results with those of other researchers, considering computational time, cost, and absolute errors. Additionally, we validate our numerical method by comparing our results with the integer model when the fractional order approaches one. We present numerous figures and tables to illustrate our findings. The results demonstrate the effectiveness of the proposed approach. - Open Access
Analytical and Numerical Methods for Solving Second-Order Two-Dimensional Symmetric Sequential Fractional Integro-Differential Equations
In this paper, we investigate the solution to a class of symmetric non-homogeneous two-dimensional fractional integro-differential equations using both analytical and numerical methods. We first show the differences between the Caputo derivative and the symmetric sequential fractional derivative and how they help facilitate the implementation of numerical and analytical approaches. Then, we propose a numerical approach based on the operational matrix method, which involves deriving operational matrices for the differential and integral terms of the equation and combining them to generate a single algebraic system. This method allows for the efficient and accurate approximation of the solution without the need for projection. Our findings demonstrate the effectiveness of the operational matrix method for solving non-homogeneous fractional integro-differential equations. We then provide examples to test our numerical method. The results demonstrate the accuracy and efficiency of the approach, with the graph of exact and approximate solutions showing almost complete overlap, and the approximate solution to the fractional problem converges to the solution of the integer problem as the order of the fractional derivative approaches one. We use various methods to measure the error in the approximation, such as absolute and errors. Additionally, we explore the effect of the derivative order. The results show that the absolute error is on the order of , while the error is on the order of . Next, we apply the Laplace transform to find an analytical solution to a class of fractional integro-differential equations and extend the approach to the two-dimensional case. We consider all homogeneous cases. Through our examples, we achieve two purposes. First, we show how the obtained results are implemented, especially the exact solution for some 1D and 2D classes. We then demonstrate that the exact fractional solution converges to the exact solution of the ordinary derivative as the order of the fractional derivative approaches one.Open AccessAnalytical and Numerical Methods for Solving Second-Order Two-Dimensional Symmetric Sequential Fractional Integro-Differential Equations
In this paper, we investigate the solution to a class of symmetric non-homogeneous two-dimensional fractional integro-differential equations using both analytical and numerical methods. We first show the differences between the Caputo derivative and the symmetric sequential fractional derivative and how they help facilitate the implementation of numerical and analytical approaches. Then, we propose a numerical approach based on the operational matrix method, which involves deriving operational matrices for the differential and integral terms of the equation and combining them to generate a single algebraic system. This method allows for the efficient and accurate approximation of the solution without the need for projection. Our findings demonstrate the effectiveness of the operational matrix method for solving non-homogeneous fractional integro-differential equations. We then provide examples to test our numerical method. The results demonstrate the accuracy and efficiency of the approach, with the graph of exact and approximate solutions showing almost complete overlap, and the approximate solution to the fractional problem converges to the solution of the integer problem as the order of the fractional derivative approaches one. We use various methods to measure the error in the approximation, such as absolute and errors. Additionally, we explore the effect of the derivative order. The results show that the absolute error is on the order of , while the error is on the order of . Next, we apply the Laplace transform to find an analytical solution to a class of fractional integro-differential equations and extend the approach to the two-dimensional case. We consider all homogeneous cases. Through our examples, we achieve two purposes. First, we show how the obtained results are implemented, especially the exact solution for some 1D and 2D classes. We then demonstrate that the exact fractional solution converges to the exact solution of the ordinary derivative as the order of the fractional derivative approaches one. - Open Access
- 17 March 2023
- Published by Elsevier in Case Studies in Thermal Engineering
- Vol. 45, 102923
Thermal analysis of nanofluid flow within porous enclosure with curved hot wall utilizing numerical approach
- 17 March 2023
- Published by Elsevier in Case Studies in Thermal Engineering
- Vol. 45, 102923
Open AccessThermal analysis of nanofluid flow within porous enclosure with curved hot wall utilizing numerical approach
- Open Access
- 9 November 2022
- Published by Wiley in Mathematical Problems in Engineering
- Vol. 2022, 1-5
The Geometrical Formulation of Variational Principle under the Theory of Fiber Bundle
This work presents the geometrical formulation of variational principle and uses exterior calculus characterized by differential forms, smooth manifolds, and the theory of fiber bundle to deduce variational principle in particle field, and we show the difference between classical form and new form.
- 9 November 2022
- Published by Wiley in Mathematical Problems in Engineering
- Vol. 2022, 1-5
Open AccessThe Geometrical Formulation of Variational Principle under the Theory of Fiber Bundle
This work presents the geometrical formulation of variational principle and uses exterior calculus characterized by differential forms, smooth manifolds, and the theory of fiber bundle to deduce variational principle in particle field, and we show the difference between classical form and new form.
- Open Access
- 1 January 2022
- Published by Wiley in Complexity
- Vol. 2022 (1)
The Q‐Space Deformed Wave Equation
Let q ∈ (0,1). We know that, when q tends to 1, we recover “classical” quantum mechanics. However, when q is not equal to one, we have a theory of quantum mechanics in a spacetime, i.e., a theory where the vacuum has a nonzero energy density. As a q‐analogue on the space variable of the wave equation, we introduce the q‐space wave equation. Solutions of these equations are given for q ∈ (0,1) and for q⟶0. Since some states have more spin degrees of freedom than the physical particle has, the q‐space wave equations remove the additional degrees of freedom.
- 1 January 2022
- Published by Wiley in Complexity
- Vol. 2022 (1)
Open AccessThe Q‐Space Deformed Wave Equation
Let q ∈ (0,1). We know that, when q tends to 1, we recover “classical” quantum mechanics. However, when q is not equal to one, we have a theory of quantum mechanics in a spacetime, i.e., a theory where the vacuum has a nonzero energy density. As a q‐analogue on the space variable of the wave equation, we introduce the q‐space wave equation. Solutions of these equations are given for q ∈ (0,1) and for q⟶0. Since some states have more spin degrees of freedom than the physical particle has, the q‐space wave equations remove the additional degrees of freedom.
- Open Access
- 1 January 2022
- Published by Wiley in Journal of Mathematics
- Vol. 2022 (1)
Euler‐Lagrange Equation in Free Coordinates
In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
- 1 January 2022
- Published by Wiley in Journal of Mathematics
- Vol. 2022 (1)
Open AccessEuler‐Lagrange Equation in Free Coordinates
In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
- Open Access
- 1 January 2022
- Published by Wiley in Journal of Mathematics
- Vol. 2022 (1)
The Q‐Time Deformed Wave Equation
For q ∈ (0,1), we introduce the q‐time deformed wave equation; using the q‐derivative, the solution of the q‐time deformed wave equation is given. Also, we introduce the free‐time wave equation which is a limit case q⟶0 of the q‐time deformed wave equation.
- 1 January 2022
- Published by Wiley in Journal of Mathematics
- Vol. 2022 (1)
Open AccessThe Q‐Time Deformed Wave Equation
For q ∈ (0,1), we introduce the q‐time deformed wave equation; using the q‐derivative, the solution of the q‐time deformed wave equation is given. Also, we introduce the free‐time wave equation which is a limit case q⟶0 of the q‐time deformed wave equation.