Browsing by Author "Saifullah, Sayed"

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Citation Count: Saifullah, Sayed...et.al. (2023). "Analysis of a conformable generalized geophysical KdV equation with Coriolis effect", Alexandria Engineering Journal, Vol.73, pp.651-663.
Analysis of a conformable generalized geophysical KdV equation with Coriolis effect
(2023) Saifullah, Sayed; Fatima, Nahid; M. Abdelmohsen, Shaimaa A.; Alanazi, Meznah M.; Ahmad, Shabir; Baleanu, Dumitru; 56389
In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator. We implement two methods to get some novel waves solution of the gpKdV equation. First, we use extended Tanh-method to extract new solutions of considered equations in the form of trigonometric hyperbolic functions. To achieve Sine and Cosine hyperbolic solutions, we use generalized Kudryashov (GK) technique with Riccati equation. We show the behaviour of solutions via 2D and 3D figures. Also, we analyze the Corioles effect on the evolution of waves solutions of the considered equation.
Citation Count: Khan, Arshad;...et.al. (2023). "Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation", Nonlinear Dynamics, Vol.111, No.6, pp.5743-5756.
Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation
(2023) Khan, Arshad; Saifullah, Sayed; Ahmad, Shabir; Khan, Javed; Baleanu, Dumitru; 56389
The perturbed KdV equation has many applications in mechanics and sound propagation in fluids. The aim of this manuscript is to study novel crucial exact solutions of the generalized perturbed KdV equation. The Hirota bilinear technique is implemented to derive general form solution of the considered equation. The novel soliton solutions are studied by taking different dispersion coefficients. We analyse first- and second-order soliton solutions, multiple-bifurcated soliton solutions, first- and second-order lump and rogue wave solutions of the considered equations. We show the effect of the parameters on the evolution of soliton solutions of the considered equation. All the obtained results are simulated by using MATLAB-2020.
Citation Count: Abdelmohsen, Shaimaa A. M...et al. (2023). "NUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATION", Fractals, Vol. 31, No. 10.
NUMERICAL ANALYSIS FOR HIDDEN CHAOTIC BEHAVIOR OF A COUPLED MEMRISTIVE DYNAMICAL SYSTEM VIA FRACTAL-FRACTIONAL OPERATOR BASED ON NEWTON POLYNOMIAL INTERPOLATION
(2023) Abdelmohsen, Shaimaa A. M.; Ahmad, Shabir; Yassen, Mansour F.; Asiri, Saeed Ahmed; Ashraf, Abdelbacki M. M.; Saifullah, Sayed; Jarad, Fahd; 234808
Dynamical features of a coupled memristive chaotic system have been studied using a fractal-fractional derivative in the sense of Atangana-Baleanu. Dissipation, Poincaré section, phase portraits, and time-series behaviors are all examined. The dissipation property shows that the suggested system is dissipative as long as the parameter g > 0. Similarly, from the Poincaré section it is observed that, lowering the value of the fractal dimension, an asymmetric attractor emerges in the system. In addition, fixed point notions are used to analyze the existence and uniqueness of the solution from a fractal-fractional perspective. Numerical analysis using the Adams-Bashforth method which is based on Newton's Polynomial Interpolation is performed. Furthermore, multiple projections of the system with different fractional orders and fractal dimensions are quantitatively demonstrated, revealing new characteristics in the proposed model. The coupled memristive system exhibits certain novel, strange attractors and behaviors that are not observable by the local operators.
Citation Count: Ahmad, Shabir;...et.al. (2022). "Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model", AIMS Mathematics, Vol.7, No.3, pp.4778-4792.
Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model
(2022) Ahmad, Shabir; Ullah, Aman; Partohaghighi, Mohammad; Saifullah, Sayed; Akgül, Ali; Jarad, Fahd; 234808
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.
Citation Count: Saifullah, Sayed...et al (2023). "Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation", Results in Physics, Vol. 52.
Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation
(2023) Saifullah, Sayed; Alqarni, M.M.; Ahmad, Shabir; Baleanu, Dumitru; Khan, Meraj Ali; Mahmoud, Emad E.; 56389
We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation. To conduct a comprehensive analysis, we employ the Generalized Kudryashov Technique (KT), Modified KT, and the sine–cosine method. Through the application of these advanced methods, a diverse range of traveling wave solutions is derived, encompassing both bounded and singular types. Among these solutions are dark and bell-shaped waves, as well as periodic waves. Significantly, our investigation reveals novel solutions that have not been previously documented in existing literature. These findings present novel contributions to the field and offer potential applications in various physical phenomena, enhancing our understanding of nonlinear wave equations.
Citation Count: Saifullah, Sayed;...et.al. (2023). "Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation", Results in Physics, Vol.52.
Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation
(2023) Saifullah, Sayed; Alqarni, M.M.; Ahmad, Shabir; Baleanu, Dumitru; Khan, Meraj Ali; Mahmoud, Emad E.; 56389
We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation. To conduct a comprehensive analysis, we employ the Generalized Kudryashov Technique (KT), Modified KT, and the sine–cosine method. Through the application of these advanced methods, a diverse range of traveling wave solutions is derived, encompassing both bounded and singular types. Among these solutions are dark and bell-shaped waves, as well as periodic waves. Significantly, our investigation reveals novel solutions that have not been previously documented in existing literature. These findings present novel contributions to the field and offer potential applications in various physical phenomena, enhancing our understanding of nonlinear wave equations.
Citation Count: Saifullah, Sayed; Ahmad, Shabir; Jarad, F. (2022). "Study On The Dynamics Of A Pıecewise Tumor-Immune Interaction Model", Fractals, Vol.30, No.8, pp.18603-18615.
Study On The Dynamics Of A Pıecewise Tumor-Immune Interaction Model
(2022) Saifullah, Sayed; Ahmad, Shabir; Jarad, Fahd; 234808
Many approaches have been proposed in recent decades to represent the behaviors of certain complicated global problems appearing in a variety of academic domains. One of these issues is the multi-step behavior that some situations exhibit. Abdon and Seda devised new operators known as "piecewise operators"to deal with such problems. This paper presents the dynamics of the tumor-immune-vitamins model in the sense of a piecewise derivative. The piecewise operator considered here is composed of classical and Caputo operators. The existence and uniqueness of the solution with a piecewise derivative are presented with the aid of fixed point results. With the help of the Newton polynomial, a numerical scheme is presented for the examined model. The attained results are visualized through simulations for different fractional orders.