Browsing by Author "Alshomrani, Ali S."

Now showing 1 - 20 of 22

Citation - WoS: 27
Citation - Scopus: 31
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics
(Springer, 2022) Yusuf, Abdullahi; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 28
Citation - Scopus: 35
Caputo SIR model for COVID-19 under optimized fractional order
(Springer, 2021) Alshomrani, Ali S.; Baleanu, Dumitru; Ullah, Malik Z.; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 0
Citation - Scopus: 1
Caputo-Based Model For Increasing Strains Of Coronavirus: Theoretical Analysis And Experimental Design
(World Scientific Publ Co Pte Ltd, 2022) Baleanu, Dumitru; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
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 Arzela-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 a 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 - WoS: 4
Citation - Scopus: 3
Computational Performances Of Morlet Wavelet Neural Network For Solving A Nonlinear Dynamic Based On The Mathematical Model Of The Affection Of Layla And Majnun
(World Scientific Publ Co Pte Ltd, 2023) Sabir, Zulqurnain; Baleanu, Dumitru; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Alshomrani, Ali S.; Hincal, Evren; 56389; Matematik
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 - WoS: 17
Citation - Scopus: 15
Extended classical optical solitons to a nonlinear Schrodinger equation expressing the resonant nonlinear light propagation through isolated flaws in optical waveguides
(Springer, 2022) Yusuf, Abdullahi; Baleanu, Dumitru; Alshomrani, Ali S.; Sulaiman, Tukur A.; Isah, Ibrahim; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 18
Citation - Scopus: 14
Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation
(Springer, 2022) Ibrahim, Salisu; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 6
Citation - Scopus: 7
Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation
(Frontiers Media Sa, 2020) Aliyu, Aliyu Isa; Baleanu, Dumitru; Li, Yongjin; Qi, Liu; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
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 - WoS: 1
Citation - Scopus: 1
Mellin transform for fractional integrals with general analytic kernel
(Amer inst Mathematical Sciences-aims, 2022) Rashid, Maliha; Baleanu, Dumitru; Kalsoom, Amna; Sager, Maria; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
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 sigma >= 0 and. be a fixed parameter. We will also establish relation between Mellin transform with Laplace and Fourier transforms.
Citation - WoS: 22
Citation - Scopus: 22
NEW ANALYTICAL SOLUTIONS OF HEAT TRANSFER FLOW OF CLAY-WATER BASE NANOPARTICLES WITH THE APPLICATION OF NOVEL HYBRID FRACTIONAL DERIVATIVE
(Vinca inst Nuclear Sci, 2020) Asjad, Muhammad Imran; Baleanu, Dumitru; Ikram, Muhammad Danish; Ali, Rizwan; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
Clay nanoparticles are hanging in three different based fluids (water, kerosene, and engine oil). The exact terminologies of Maxwell-Garnett and Brinkman for the current thermophysical properties of clay nanofluids are used, while the flow occurrence is directed by a set linear PDE with physical initial and boundary conditions. The classical governing equations are extended to non-integer order hybrid fractional derivative which is introduced in [33]. Analytical solutions for temperature and velocity fields are attained via Laplace transform technique. Some limiting solutions are also obtained from the existing literature and compared for different values of fractional parameter. To vision the impact of several flow parameters on the temperature and velocity some graphs are drawn using Mathcad software and designed in different figures. As a result, we found that hybrid fractional model is better in describing the decay behavior of temperature and velocity in comparison of classical derivatives. In comparison of nanofluid with different base fluids, it is concluded that water-based nanofluid has higher velocity than others.
Citation - WoS: 13
Citation - Scopus: 17
Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
(Springer, 2023) Alquran, Marwan; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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.
Nonautonomous lump-periodic and analytical solutions tothe (3+1)-dimensional generalized Kadomtsev-Petviashviliequation
(2023) Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 3
Citation - Scopus: 3
Nonlinear wave train in an inhomogeneous medium with the fractional theory in a plane self-focusing
(Amer inst Mathematical Sciences-aims, 2022) Asjad, Muhammad Imran; Baleanu, Dumitru; Faridi, Waqas Ali; Jhangeer, Adil; Aleem, Maryam; Yusuf, Abdullahi; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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 beta 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 beta 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 beta-fractional derivatives for the solutions of the Hirota equation is displayed by considering suitable involved parametric values with the aid of Mathematica.
Citation - WoS: 4
Citation - Scopus: 4
On exact special solutions for the stochastic regularized long wave-Burgers equation
(Springer, 2020) Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 19
Citation - Scopus: 21
Optical solitons for Triki-Biswas equation by two analytic approaches
(Amer inst Mathematical Sciences-aims, 2020) Aliyu, Aliyu Isa; Baleanu, Dumitru; Alshomrani, Ali S.; Inc, Mustafa; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 14
Citation - Scopus: 22
Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation
(Springer, 2022) Yusuf, Abdullahi; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
The current study looks at two different nonlinear Schrodinger 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 - WoS: 15
Citation - Scopus: 19
Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber
(Springer, 2023) Jaradat, Imad; Baleanu, Dumitru; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Yusuf, Abdullahi; Alquran, Marwan; Baleanu, Dumitru; 56389; Matematik
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.
Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model
(2019) Baleanu, Dumitru; Li, Yongjin; İnç, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
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 - WoS: 7
Citation - Scopus: 9
Solitons and complexitons to the (2+1)-dimensional Heisenberg ferromagnetic spin chain model
(World Scientific Publ Co Pte Ltd, 2019) Aliyu, Aliyu Isa; Baleanu, Dumitru; Li, Yongjin; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389; Matematik
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 - WoS: 10
Citation - Scopus: 12
The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers
(Amer inst Mathematical Sciences-aims, 2020) Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
In this manuscript, the deterministic and stochastic nonlinear Schrodinger equation with time conformable derivative is analysed in birefrigent fibers. Hermite transforms, white noise analysis and the modified fractional sub-equation method are used to obtain white noise functional solutions for this equation. These solutions consists of exact stochastic hyperbolic functions, trigonometric functions and wave solutions.
Citation - WoS: 6
Citation - Scopus: 5
The natural convective graphene oxide nanofluid-flow in an upright squeezing channel
(Vinca inst Nuclear Sci, 2019) Ullah, Malik Z.; Baleanu, Dumitru; Gul, Taza; Alshomrani, Ali S.; Baleanu, Dumitru; 56389; Matematik
The 3-D flow of water based graphene oxide (GO-W) and ethylene glycol based graphene oxide (GO-EG) nanofluids amongst the binary upright and parallel plates is considered. The unsteady movement of the nanofluid is associated with the porous medium and the unbroken magnetic field is executed in the perpendicular track of the flow field. The basic governing equations have been altered using the Von Karman transformation, including the natural-convection in the downward direction. The solution for the modeled problem has been attained by means of optimal homotopy analysis method (OHAM). The influence of the physical parameters on the momentum boundary-layer, pressure and temperature fields is mainly focused. Moreover, the comparison of the GO-W and GO-EG nanofluids under the impact of physical constraints have been analyzed graphically and numerically. The imperative physical constraints of the drag force and heat transfer rate have been computed and conferred. The consequences have been validated using the error analysis and the obtained outcomes have been shown and discussed.