Browsing by Author "Alshomrani, Ali S."

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Citation Count: Yusuf, Abdullahi;...et.al. (2022). "Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics", Nonlinear Dynamics, Vol.110, No.4, pp.3655-3669.
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics
(2022) Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
The breather wave and lump periodic wave solutions for the (2 + 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach. The novel breather and lump periodic solutions have been researched to explain unique physical challenges. These breakthroughs have been demonstrated to be advantageous in the transmission of long-wave and high-power communications networks. The circumstances of the existence of these solutions are described in detail.
Citation Count: Alshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru (2021). "Caputo SIR model for COVID-19 under optimized fractional order", Advances in Difference Equations, Vol. 2021, No. 1.
Caputo SIR model for COVID-19 under optimized fractional order
(2021) Alshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru; 56389
Everyone is talking about coronavirus from the last couple of months due to its exponential spread throughout the globe. Lives have become paralyzed, and as many as 180 countries have been so far affected with 928,287 (14 September 2020) deaths within a couple of months. Ironically, 29,185,779 are still active cases. Having seen such a drastic situation, a relatively simple epidemiological SIR model with Caputo derivative is suggested unlike more sophisticated models being proposed nowadays in the current literature. The major aim of the present research study is to look for possibilities and extents to which the SIR model fits the real data for the cases chosen from 1 April to 15 March 2020, Pakistan. To further analyze qualitative behavior of the Caputo SIR model, uniqueness conditions under the Banach contraction principle are discussed and stability analysis with basic reproduction number is investigated using Ulam-Hyers and its generalized version. The best parameters have been obtained via the nonlinear least-squares curve fitting technique. The infectious compartment of the Caputo SIR model fits the real data better than the classical version of the SIR model (Brauer et al. in Mathematical Models in Epidemiology 2019). Average absolute relative error under the Caputo operator is about 48% smaller than the one obtained in the classical case (nu=1). Time series and 3D contour plots offer social distancing to be the most effective measure to control the epidemic.
Citation Count: Baleanu, D.; Alshomrani, Ali S. (2022). "Caputo-Based Model For Increasing Strains Of Coronavirus: Theoretical Analysis And Experimental Design", Fractals, Vol.30, No.5.
Caputo-Based Model For Increasing Strains Of Coronavirus: Theoretical Analysis And Experimental Design
(2022) Baleanu, Dumitru; Alshomrani, Ali S.; 56389
One of the most severe and troubling diseases these days is COVID-19 pandemic. The COVID-19 pandemic's dangerous effects are extremely rapid, and infection normally results in death within a few weeks. As a consequence, it is important to delve deeper into the complexities of this elusive virus. In this study, we propose a Caputo-based model for increasing COVID-19 strains. The memory effect and hereditary properties of the fractional variant for the model enable us to fully comprehend the dynamics of the model's features. The existence of unique solution using the fixed-point theorem and Arzelá-Ascoli principle as well as the stability analysis of the model by means of Ulam-Hyer stability (UHS) and generalized Ulam-Hyer stability (GUHS) have been discussed. Furthermore, the parameters of the model are estimated using 3 months data points chosen from Nigeria using the nonlinear least-squares technique. The best-suited parameters and the optimized Caputo fractional-order parameter α are obtained by running simulations for both models. The proposed model is shown to comprehend the dynamical behavior of the virus better than the integer-order version. In addition, to shed more light on the model's characteristics, various numerical simulations are performed using an efficient numerical scheme.
Citation Count: Sabir, Zulqurnain...et.al. (2023). "Computational Performances Of Morlet Wavelet Neural Network For Solving A Nonlinear Dynamic Based On The Mathematical Model Of The Affection Of Layla And Majnun", Fractals, Vol.31, No.2.
Computational Performances Of Morlet Wavelet Neural Network For Solving A Nonlinear Dynamic Based On The Mathematical Model Of The Affection Of Layla And Majnun
(2023) Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Alshomrani, Ali S.; Hincal, Evren; 56389
The aim of this study is to design a novel stochastic solver through the Morlet wavelet neural networks (MWNNs) for solving the mathematical Layla and Majnun (LM) system. The numerical representations of the mathematical LM system have been presented by using the MWNNs along with the optimization is performed through the hybridization of the global and local search schemes. The local active-set (AS) and global genetic algorithm (GA) operators have been used to optimize an error-based merit function using the differential LM model and its initial conditions. The correctness of the MWNNs using the local and global operators is observed through the comparison of the obtained solutions and the Adams scheme, which is used as a reference solution. For the stability of the MWNNs using the global and local operators, the statistical performances with different operators have been provided using the multiple executions to solve the nonlinear LM system.
Citation Count: Yusuf, Abdullahi;...et.al. (2022). "Extended classical optical solitons to a nonlinear Schrodinger equation expressing the resonant nonlinear light propagation through isolated flaws in optical waveguides", Optical and Quantum Electronics, Vol.54, No.12.
Extended classical optical solitons to a nonlinear Schrodinger equation expressing the resonant nonlinear light propagation through isolated flaws in optical waveguides
(2022) Yusuf, Abdullahi; Alshomrani, Ali S.; Sulaiman, Tukur A.; Isah, Ibrahim; Baleanu, Dumitru; 56389
This study establishes the extended classical optical solitons for a nonlinear Schrodinger equation describing resonant nonlinear light propagation through isolated flaws in optical wave guides. We use the modified Sardar sub-equation approach to get such innovative results. The innovative optical solitons solutions have been investigated to explain unique physical obstacles, and they entail an extended classical M-truncated derivative, which affects the physical properties of the findings greatly. These advancements have been shown to be beneficial in the transmission of long-wave and high-power communications networks. Furthermore, the figures for the acquired solutions are graphed through the depiction of the 3D and contour plots in order to throw additional light on the peculiarities of the obtained solutions.
Citation Count: Ibrahim, Salisu;...et.al. (2022). "Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation", Optical and Quantum Electronics, Vol.54, No.11.
Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation
(2022) Ibrahim, Salisu; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
This work employs a novel variation of the Sardar sub-equation approach to investigate the optical solitons for the nonlinear Hirota-Schrodinger equation. Different soliton solutions, including bright solitons, dark solitons, singular solitons, combined bright-singular solitons, periodic, exponential, and rational solutions are derived along with nonlinear models. The obtained solitons solutions are crucial to mathematics, physics, science, and engineering.
Citation Count: Partohaghighi, Mohammad...et al. "Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering", International Journal of Modern Physics B, Vol. 38, No. 1.
Fractional hyper-chaotic system with complex dynamics and high sensitivity: Applications in engineering
(2024) Partohaghighi, Mohammad; Yusuf, Abdullahi; Alshomrani, Ali S.; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; 56389
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. © World Scientific Publishing Company.
Citation Count: Zafar, Zain Ul Abadin...et al (2023). "IMPACT OF PUBLIC HEALTH AWARENESS PROGRAMS ON COVID-19 DYNAMICS: A FRACTIONAL MODELING APPROACH", Fractals, Vol. 31, No. 10.
IMPACT OF PUBLIC HEALTH AWARENESS PROGRAMS ON COVID-19 DYNAMICS: A FRACTIONAL MODELING APPROACH
(2023) Zafar, Zain Ul Abadin; Yusuf, Abdullahi; Musa, Salihu S.; Qureshi, Sania; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
Public health awareness programs have been a crucial strategy in mitigating the spread of emerging and re-emerging infectious disease outbreaks of public health significance such as COVID-19. This study adopts an Susceptible–Exposed–Infected–Recovered (SEIR) based model to assess the impact of public health awareness programs in mitigating the extent of the COVID-19 pandemic. The proposed model, which incorporates public health awareness programs, uses ABC fractional operator approach to study and analyze the transmission dynamics of SARS-CoV-2. It is possible to completely understand the dynamics of the model’s features because of the memory effect and hereditary qualities that exist in the fractional version. The fixed point theorem has been used to prove the presence of a unique solution, as well as the stability analysis of the model. The nonlinear least-squares method is used to estimate the parameters of the model based on the daily cumulative cases of the COVID-19 pandemic in Nigeria from March 29 to June 12, 2020. Through the use of simulations, the model’s best-suited parameters and the optimal ABC fractional-order parameter τ may be determined and optimized. The suggested model is proved to understand the virus’s dynamical behavior better than the integer-order version. In addition, numerous numerical simulations are run using an efficient numerical approach to provide further insight into the model’s features.
Citation Count: Aliyu, Aliyu Isa...et al. (2020). "Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation", Frontiers in Physics, Vol. 7.
Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation
(2020) Aliyu, Aliyu Isa; Li, Yongjin; Qi, Liu; İnç, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
In this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz. The equation is applied in the modeling of propagation of small-amplitude surface waves in large channels or straits of slowly varying width, depth and non-vanishing vorticity. Applying the Bell's polynomials approach, we successfully acquire the bilinear form of the equation. We firstly find a general form of quadratic function solution of the bilinear form and then expand it as the sums of squares of linear functions satisfying some conditions. Most importantly, we acquire two lump-type and a bell-shaped soliton solutions of the equation. To our knowledge, the lump type solutions of the equation are reported for the first time in this paper. The physical interpretation of the results are discussed and represented graphically.
Citation Count: Rashid, Maliha;...et.al. (2022). "Mellin transform for fractional integrals with general analytic kernel", AIMS Mathematics, Vol.7, No.5, pp.9443-9462.
Mellin transform for fractional integrals with general analytic kernel
(2022) Rashid, Maliha; Kalsoom, Amna; Sager, Maria; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
Many different operators of fractional calculus have been proposed, which can be organized in some general classes of operators. According to this study, the class of fractional integrals and derivatives can be classified into two main categories, that is, with and without general analytical kernel (introduced in 2019). In this article, we define the Mellin transform for fractional differential operator with general analytic kernel in both Riemann-Liouville and Caputo derivatives of order ς ≥ 0 and ϱ be a fixed parameter. We will also establish relation between Mellin transform with Laplace and Fourier transforms.
Citation Count: Sabir, Zulqurnain;...et.al. (2023). "Meyer Wavelet Neural Networks Procedures To Investigate The Numerical Performances Of The Computer Virus Spread With Kill Signals", Fractals, Vol.31, No.2.
Meyer Wavelet Neural Networks Procedures To Investigate The Numerical Performances Of The Computer Virus Spread With Kill Signals
(2023) Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Alshomrani, Ali S.; Hincal, Evren; 56389
This study shows the design of the Meyer wavelet neural networks (WNNs) to perform the numerical solutions of the spread of computer virus with kill signals, i.e. SEIR-KS system. The optimization of the SEIR-KS system is performed by the Meyer WNNs together with the optimization through the genetic algorithm (GA) and sequential quadratic (SQ) programming, i.e. Meyer WNNs-GASQ programming. A sigmoidal-based log-sigmoid function is implemented as an activation function, while 10 numbers of neurons work with 120 variables throughout this study. The correctness of the proposed Meyer WNNs-GASQP programming is observed through the comparison of the obtained and reference numerical solutions. For the consistency and reliability of the Meyer WNNs-GASQ programming, an analysis based on different statistical procedures is performed using 40 numbers of independent executions. Moreover, the use of different statistical operators like mean, median, minimum, standard deviation and semi-interquartile range further validates the correctness of the Meyer WNNs-GASQ programming for solving the SEIR-KS system.
Citation Count: Alquran, Marwan;...et.al. (2023). "Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation", Nonlinear Dynamics, Vol.111, No.12, pp.11429-11436.
Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
(2023) Alquran, Marwan; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
This work establishes the lump periodic and exact traveling wave solutions for the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation. We use the Hirota bilinear method, as well as the robust integration techniques tanh–coth expansion and rational sine–cosine, to provide such innovative solutions. In order to explain specific physical difficulties, innovative lump periodic and analytical solutions have been investigated. These discoveries have been proven to be useful in the transmission of long-wave and high-power communications networks. It is important to highlight that the results given in this work depict new features and reflect previously unknown physical dynamics for the governing model.
Citation Count: Alquran, Marwan...et al. (2023). "Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation", NONLINEAR DYNAMICS, Vol. 111, No. 12, pp. 11429-11436.
Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation
(2023) Alquran, Marwan; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
This work establishes the lump periodic and exact traveling wave solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation. We use the Hirota bilinear method, as well as the robust integration techniques tanh-coth expansion and rational sine-cosine, to provide such innovative solutions. In order to explain specific physical difficulties, innovative lump periodic and analytical solutions have been investigated. These discoveries have been proven to be useful in the transmission of long-wave and high-power communications networks. It is important to highlight that the results given in thiswork depict new features and reflect previously unknown physical dynamics for the governing model.
Citation Count: Asjad, Muhammad Imran;...et.al. (2022). "Nonlinear wave train in an inhomogeneous medium with the fractional theory in a plane self-focusing", AIMS Mathematics, Vol.7, No.5, pp.8290-8313.
Nonlinear wave train in an inhomogeneous medium with the fractional theory in a plane self-focusing
(2022) Asjad, Muhammad Imran; Faridi, Waqas Ali; Jhangeer, Adil; Aleem, Maryam; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
The aim of study is to investigate the Hirota equation which has a significant role in applied sciences, like maritime, coastal engineering, ocean, and the main source of the environmental action due to energy transportation on floating anatomical structures. The classical Hirota model has transformed into a fractional Hirota governing equation by using the space-time fractional Riemann-Liouville, time fractional Atangana-Baleanu and space-time fractional β differential operators. The most generalized new extended direct algebraic technique is applied to obtain the solitonic patterns. The utilized scheme provided a generalized class of analytical solutions, which is presented by the trigonometric, rational, exponential and hyperbolic functions. The analytical solutions which cover almost all types of soliton are obtained with Riemann-Liouville, Atangana-Baleanu and β fractional operator. The influence of the fractional-order parameter on the acquired solitary wave solutions is graphically studied. The two and three-dimensional graphical comparison between Riemann-Liouville, Atangana-Baleanu and β-fractional derivatives for the solutions of the Hirota equation is displayed by considering suitable involved parametric values with the aid of Mathematica.
Citation Count: Korpınar, Zeliha...et al. (2020). "On exact special solutions for the stochastic regularized long wave-Burgers equation", Advances in Difference Equations, Vol. 2020, No. 1.
On exact special solutions for the stochastic regularized long wave-Burgers equation
(2020) Korpınar, Zeliha; İnç, Mustafa; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms, and the modified sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions. This study emphasizes that the modified fractional sub-equation method is sufficient to solve the stochastic nonlinear equations in mathematical physics.
Citation Count: Aliyu, Aliyu Isa...et al. (2020). "Optical solitons for Triki-Biswas equation by two analytic approaches", AIMS Mathematics, Vol. 5, No. 2, pp. 1001-1010.
Optical solitons for Triki-Biswas equation by two analytic approaches
(2020) Aliyu, Aliyu Isa; Alshomrani, Ali S.; İnç, Mustafa; Baleanu, Dumitru; 56389
The present study is devoted to using two analytic approaches to study the Triki-Biswas equation (TBE). The TBE model plays a vital role in propagation of short pulses of width around regions of sub-10 fs in optical. The analytic approaches used are the sine-Gordon expansion (SGEM) and the Riccatti Bernoulli sub-ODE (RBSO) methods. Chirped kink-type, bright envelope and singular solitons are formally derived.
Citation Count: Yusuf, Abdullahi;...et.al. (2022). "Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation", Optical and Quantum Electronics, Vol.54, No.6.
Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation
(2022) Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389
The current study looks at two different nonlinear Schrödinger equations. These equations have several applications in science and engineering, such as nonlinear fiber optics, electromagnetic field waves, and signal processing via optical fibers. In this study, we investigate these equations using an efficient integration strategy known as complex envelop antazs. As a result, we obtain novel solutions such as bright, dark, and combined dark-bright soliton solutions. Important physical aspects have been depicted in three dimensions and contour plots for clear interpretation of the acquired solutions.
Citation Count: Jaradat, Imad;...et.al. (2023). "Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber", Optical and Quantum Electronics, Vol.55, no.4.
Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber
(2023) Jaradat, Imad; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Yusuf, Abdullahi; Alquran, Marwan; Baleanu, Dumitru; 56389
We examine the three-component coupled nonlinear Schrodinger equation that is used for the propagation of pulses to the nonlinear optical fiber. Multi-component NLSE equations have gained popularity because they can be used to demonstrate a vast array of complex observable systems as well as more kinetic patterns of localized wave solutions. The solutions are obtained by using the generalized exponential rational function method, a relatively new integration tool. We extract various optical solitons in different forms. Moreover, exponential, periodic solutions and solutions of the hyperbolic type are guaranteed. In addition to providing previously extracted solutions, the used approach also extracts new exact solutions and is beneficial for elucidating nonlinear partial differential equations. The graphs of different shapes are sketched for the attained solutions and some physical properties- are raised. The reported solutions in this work are new as they are compared to earlier similar studies. The results of this paper show that the used method is effective at improving the nonlinear dynamical behavior of a system. The findings show that the computational approach taken is successful, simple, and applicable even to complicated phenomena.
Citation Count: Aliyu, Aliyu Isa...et al. (2019). "Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model", International Journal of Modern Physics B, Vol. 33, no. 30.
Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model
(2019) Aliyu, Aliyu Isa; Li, Yongjin; İnç, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
This paper investigates the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified F-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.
Citation Count: Aliyu, Aliyu Isa...et al. (2019). "Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model", INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 33, No. 30.
Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model
(2019) Aliyu, Aliyu Isa; Li, Yongjin; İnç, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
This paper investigates the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified F-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.