Browsing by Author "Partohaghighi, Mohammad"

Now showing 1 - 7 of 7

Citation - WoS: 3
Citation - Scopus: 3
Computational analysis of COVID-19 model outbreak with singular and nonlocal operator
(Amer inst Mathematical Sciences-aims, 2022) Amin, Maryam; Jarad, Fahd; Farman, Muhammad; Akgul, Ali; Partohaghighi, Mohammad; Jarad, Fahd; 234808; Matematik
The SARS-CoV-2 virus pandemic remains a pressing issue with its unpredictable nature, and it spreads worldwide through human interaction. Current research focuses on the investigation and analysis of fractional epidemic models that discuss the temporal dynamics of the SARS-CoV-2 virus in the community. In this work, we choose a fractional-order mathematical model to examine the transmissibility in the community of several symptoms of COVID-19 in the sense of the Caputo operator. Sensitivity analysis of R0 and disease-free local stability of the system are checked. Also, with the assistance of fixed point theory, we demonstrate the existence and uniqueness of the system. In addition, numerically we solve the fractional model and presented some simulation results via actual estimation parameters. Graphically we displayed the effects of numerous model parameters and memory indexes. The numerical outcomes show the reliability, validation, and accuracy of the scheme.
Citation - WoS: 16
Citation - Scopus: 16
Ficitious time integration method for solving the time fractional gas dynamics equation
(Vinca inst Nuclear Sci, 2019) Partohaghighi, Mohammad; Baleanu, Dumitru; Inc, Mustafa; Baleanu, Dumitru; Moshokoa, Seithuti Philemon; 56389; Matematik
In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.
Citation - WoS: 12
Citation - Scopus: 12
Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering
(World Scientific Publ Co Pte Ltd, 2024) Partohaghighi, Mohammad; Baleanu, Dumitru; Yusuf, Abdullahi; Alshomrani, Ali S. S.; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; 56389; Matematik
Hyper-chaotic systems have useful applications in engineering applications due to their complex dynamics and high sensitivity. This research is supposed to introduce and analyze a new noninteger hyper-chaotic system. To design its fractional model, we consider the Caputo fractional operator. To obtain the approximate solutions of the extracted system under the considered fractional-order derivative, we employ an accurate nonstandard finite difference (NSFD) algorithm. Moreover, the existence and uniqueness of the solutions are provided using the theory of fixed-point. Also, to see the performance of the utilized numerical scheme, we choose different values of fractional orders along with various amounts of the initial conditions (ICs). Graphs of solutions for each case are provided.
Citation - WoS: 6
Citation - Scopus: 8
Numerical simulation of the fractional diffusion equation
(World Scientific Publ Co Pte Ltd, 2023) Partohaghighi, Mohammad; Jarad, Fahd; Yusuf, Abdullahi; Jarad, Fahd; Sulaiman, Tukur A.; Alquran, Marwan; 234808; Matematik
During this paper, a specific type of fractal-fractional diffusion equation is presented by employing the fractal-fractional operator. We present a reliable and accurate operational matrix approach using shifted Chebyshev cardinal functions to solve the considered problem. Also, an operational matrix for the considered derivative is obtained from basic functions. To solve the introduced problem, we convert the main equation into an algebraic system by extracting the operational matrix methods. Graphs of exact and approximate solutions along with error graphs are presented. These figures show how the introduced approach is reliable and accurate. Also, tables are established to illustrate the values of solutions and errors. Finally, a comparison of the solutions at a specific time is given for each test problem.
Citation - WoS: 15
Citation - Scopus: 14
On Numerical Solution of the Time Fractional Advection-Diffusion Equation Involving Atangana-Baleanu-Caputo Derivative
(Sciendo, 2019) Partohaghighi, Mohammad; Baleanu, Dumitru; Inc, Mustafa; Bayram, Mustafa; Baleanu, Dumitru; 56389; Matematik
A powerful algorithm is proposed to get the solutions of the time fractional Advection-Diffusion equation(TFADE): (ABC)D(0+)(,t)(beta)u(x, t) = zeta u(xx)(x, t) - kappa u(x)(x, t) + F(x, t), 0 < beta <= 1. The time-fractional derivative (ABC)D(0+)(,t)(beta)u(x, t) is described in the Atangana-Baleanu Caputo concept. The basis of our approach is transforming the original equation into a new equation by imposing a transformation involving a fictitious coordinate. Then, a geometric scheme namely the group preserving scheme (GPS) is implemented to solve the new equation by taking an initial guess. Moreover, in order to present the power of the presented approach some examples are solved, successfully.
Citation - WoS: 41
Citation - Scopus: 44
Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model
(Amer inst Mathematical Sciences-aims, 2022) Ahmad, Shabir; Jarad, Fahd; Ullah, Aman; Partohaghighi, Mohammad; Saifullah, Sayed; Akgul, Ali; Jarad, Fahd; 234808; Matematik
HIV-1 infection is a dangerous diseases like Cancer, AIDS, etc. Many mathematical models have been introduced in the literature, which are investigated with different approaches. In this article, we generalize the HIV-1 model through nonsingular fractional operator. The non-integer mathematical model of HIV-1 infection under the Caputo-Fabrizio derivative is presented in this paper. The concept of Picard-Lindelof and fixed-point theory are used to address the existence of a unique solution to the HIV-1 model under the suggested operator. Also, the stability of the suggested model is proved through the Picard iteration and fixed point theory approach. The model's approximate solution is constructed through three steps Adams-Bashforth numerical method. Numerical simulations are provided for different values of fractional-order to study the complex dynamics of the model. Lastly, we provide the oscillatory and chaotic behavior of the proposed model for various fractional orders.
YFICITIOUS TIME INTEGRATION METHOD FOR SOLVING THE TIME FRACTIONAL GAS DYNAMICS EQUATION
(2019) Baleanu, Dumitru; İnç, Mustafa; Baleanu, Dumitru; Moshokoa, Seithuti Philemon; 56389; Matematik
In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.