Browsing by Author "Javeed, Shumaila"

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Citation Count: Faiz, Zeshan...et al. (2024). "A Novel Fractional Dengue Transmission Model in the Presence of Wolbachia Using Stochastic Based Artificial Neural Network", CMES - Computer Modeling in Engineering and Sciences, Vol. 139, No. 2, pp. 1217-1238.
A Novel Fractional Dengue Transmission Model in the Presence of Wolbachia Using Stochastic Based Artificial Neural Network
(2024) Faiz, Zeshan; Ahmed, Iftikhar; Baleanu, Dumitru; Javeed, Shumaila; 56389
The purpose of this research work is to investigate the numerical solutions of the fractional dengue transmission model (FDTM) in the presence of Wolbachia using the stochastic-based Levenberg-Marquardt neural network (LM-NN) technique. The fractional dengue transmission model (FDTM) consists of 12 compartments. The human population is divided into four compartments; susceptible humans (Sh), exposed humans (Eh), infectious humans (Ih), and recovered humans (Rh). Wolbachia-infected and Wolbachia-uninfected mosquito population is also divided into four compartments: aquatic (eggs, larvae, pupae), susceptible, exposed, and infectious.We investigated three different cases of vertical transmission probability (η), namely whenWolbachia-free mosquitoes persist only (η = 0.6), when both types ofmosquitoes persist (η = 0.8), and whenWolbachia-carrying mosquitoes persist only (η=1). The objective of this study is to investigate the effectiveness of Wolbachia in reducing dengue and presenting the numerical results by using the stochastic structure LM-NN approach with 10 hidden layers of neurons for three different cases of the fractional order derivatives (α=0.4, 0.6, 0.8). LM-NN approach includes a training, validation, and testing procedure to minimize the mean square error (MSE) values using the reference dataset (obtained by solving the model using the Adams-Bashforth-Moulton method (ABM). The distribution of data is 80% data for training, 10% for validation, and, 10% for testing purpose) results. A comprehensive investigation is accessible to observe the competence, precision, capacity, and efficiency of the suggested LM-NN approach by executing the MSE, state transitions findings, and regression analysis. The effectiveness of the LM-NN approach for solving the FDTM is demonstrated by the overlap of the findings with trustworthy measures, which achieves a precision of up to 10−4 © 2024 Tech Science Press. All rights reserved.
Citation Count: Ahmad, Shakoor;...et.al. (2022). "A novel fractional model for the projection of households using wealth index quintiles", PLoS ONE, Vol.17, No.11.
A novel fractional model for the projection of households using wealth index quintiles
(2022) Ahmad, Shakoor; Javeed, Shumaila; Raza, Saqlain; Baleanu, Dumitru; 56389
Forecasting household assets provides a better opportunity to plan their socioeconomic activities for the future. Fractional mathematical models offer to model the asset-holding data into a piece of scientific evidence in addition to forecasting their future value. This research focuses on the development of a new fractional mathematical model based on the wealth index quintile (WIQ) data. To accomplish the objective, we used the system of coupled fractional differential equations by defining the fractional term with the Caputo derivative and verified it with the stability tests considering the steady-state solution. A numerical solution of the model was obtained using the Adams-Bashforth-Moulton method. To validate the model, we used real-time data obtained from the household series of surveys in Punjab, Pakistan. Different case studies that elucidate the effect of quintiles on the population are also presented. The accuracy of results between real-world and simulated data was compared using absolute and relative errors. The synchronization between the simulated results and real-time data verifies the formulation of the fractional WIQ model. This fractional model can be utilized to predict the approximation of the asset-holding of the households. Due to its relative nature, the model also provides the opportunity for the researchers to use the WIQs of their respective regions to forecast the households’ socioeconomic conditions.
Citation Count: Javeed, Shumaila; Shabnum, Assiya; Baleanu, Dumitru, "An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms", Punjab University Journal of Mathematics, Vol. 51, No. 11, pp. 101-113, (2019).
An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms
(Univ Punjab, Dept Mathematics, 2019) Javeed, Shumaila; Shabnum, Assiya; Baleanu, Dumitru; 56389
This paper introduces the better algorithms to obtain refined initial guesses with shooting method for solving boundary value problems (BVPs). Each boundary value problem (BVP) is reformulated as a system of equations i.e. initial value problems (IVPs) with one unknown initial conditions. Afterwards, the system of equations is solved using newly developed shooting method [2]. This article proposes efficient initial guess algorithms rather than conventional Newton method to approach the adjoint terminal conditions rapidly. We enhanced the efficiency and accuracy of shooting method by first improving our initial guess and then solving the problem iteratively. The suggested technique is applied to solve different nonlinear higher order boundary value problems. The results indicate that the proposed method is more efficient and accurate as compared to build-in-functions which is being used in MATLAB.
Citation Count: Javeed, Shumaila...et al. (2019). "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations", Mathematics, Vol. 7, No. 1.
Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations
(MDPI, 2019) Javeed, Shumaila; Baleanu, Dumitru; Waheed, Asif; Khan, Mansoor Shaukat; Affan, Hira; 56389
The analysis of Homotopy PerturbationMethod (HPM) for the solution of fractional partial differential equations (FPDEs) is presented. A unified convergence theorem is given. In order to validate the theory, the solution of fractional-order Burger-Poisson (FBP) equation is obtained. Furthermore, this work presents the method to find the solution of FPDEs, while the same partial differential equation (PDE) with ordinary derivative i.e., for alpha = 1, is not defined in the given domain. Moreover, HPM is applied to a complicated obstacle boundary value problem (BVP) of fractional order.
Citation Count: Chu, Yuming...et al. (2021). "Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity", CMC-Computers Materials & Continua, Vol. 66, No. 2, pp. 1369-1378.
Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity
(2021) Chu, Yuming; Shallal, Muhannad A.; Mirhosseini-Alizamini, Seyed Mehdi; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; 56389
The purpose of this work is to find new soliton solutions of the complex Ginzburg-Landau equation (GLE) with Kerr law non-linearity. The considered equation is an imperative nonlinear partial differential equation (PDE) in the field of physics. The applications of complex GLE can be found in optics, plasma and other related fields. The modified extended tanh technique with Riccati equation is applied to solve the Complex GLE. The results are presented under a suitable choice for the values of parameters. Figures are shown using the three and two-dimensional plots to represent the shape of the solution in real, and imaginary parts in order to discuss the similarities and difference between them. The graphical representation of the results depicts the typical behavior of soliton solutions. The obtained soliton solutions are of different forms, such as, hyperbolic and trigonometric functions. The results presented in this paper are novel and reported first time in the literature. Simulation results establish the validity and applicability of the suggested technique for the complex GLE. The suggested method with symbolic computational software such as, Mathematica and Maple, is proven as an effective way to acquire the soliton solutions of nonlinear partial differential equations (PDEs) as well as complex PDEs.
Citation Count: Javeed, Shumaila...et al. (2018). Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers, Results in Physics, 9, 1275-1281.
Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers
(Elsevier Science BV, 2018) Javeed, Shumaila; Saif, Summaya; Waheed, Asif; Baleanu, Dumitru; 56389
The new exact solutions of nonlinear fractional partial differential equations (FPDEs) are established by adopting first integral method (FIM). The Riemann-Liouville (R-L) derivative and the local conformable derivative definitions are used to deal with the fractional order derivatives. The proposed method is applied to get exact solutions for space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation and coupled time-fractional Boussinesq-Burgers equation. The suggested technique is easily applicable and effectual which can be implemented successfully to obtain the solutions for different types of nonlinear FPDEs.
Citation Count: Javeed, Shumaila...et al. (2019). "First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models", Symmetry-Basel, Vol. 11, No. 6.
First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models
(MDPI, 2019) Javeed, Shumaila; Riaz, Sidra; Alimgeer, Khurram Saleem; Atıf, M.; Hanif, Atıf; Baleanu, Dumitru; 56389
In this work, we establish the exact solutions of some mathematical physics models. The first integral method (FIM) is extended to find the explicit exact solutions of high-dimensional nonlinear partial differential equations (PDEs). The considered models are: the space-time modified regularized long wave (mRLW) equation, the (1+2) dimensional space-time potential Kadomtsev Petviashvili (pKP) equation and the (1+2) dimensional space-time coupled dispersive long wave (DLW) system. FIM is a powerful mathematical tool that can be used to obtain the exact solutions of many non-linear PDEs.
Citation Count: Javeed, Shumaila; Ul Abdeen, Zain; Baleanu, Dumitru. (2023). "Fractional Modeling of Cancer with Mixed Therapies", Frontiers in Bioscience - Landmark, Vol.28, No.8.
Fractional Modeling of Cancer with Mixed Therapies
(2023) Javeed, Shumaila; Ul Abdeen, Zain; Baleanu, Dumitru; 56389
Background: Cancer is the biggest cause of mortality globally, with approximately 10 million fatalities expected by 2020, or about one in every six deaths. Breast, lung, colon, rectum, and prostate cancers are the most prevalent types of cancer. Methods: In this work, fractional modeling is presented which describes the dynamics of cancer treatment with mixed therapies (immunotherapy and chemotherapy). Mathematical models of cancer treatment are important to understand the dynamical behavior of the disease. Fractional models are studied considering immunotherapy and chemotherapy to control cancer growth at the level of cell populations. The models consist of the system of fractional differential equations (FDEs). Fractional term is defined by Caputo fractional derivative. The models are solved numerically by using Adams-Bashforth-Moulton method. Results: For all fractional models the reasonable range of fractional order is between β = 0.6 and β = 0.9. The equilibrium points and stability analysis are presented. Moreover, positivity and boundedness of the solution are proved. Furthermore, a graphical representation of cancerous cells, immunotherapy and chemotherapy is presented to understand the behaviour of cancer treatment. Conclusions: At the end, a curve fitting procedure is presented which may help medical practitioners to treat cancer patients.
Citation Count: El Achab, Abdelfattah...et al. (2021). "Ginzburg Landau equation's Innovative Solution (GLEIS)", Physica Scripta, Vol. 96, No. 3.
Ginzburg Landau equation's Innovative Solution (GLEIS)
(2021) El Achab, Abdelfattah; Rezazadeh, Hadi; Baleanu, Dumitru; Desta Leta, Temesgen; Javeed, Shumaila; Alimgeer, Khurram Saleem; 56389
A novel soliton solution of the famous 2D Ginzburg-Landau equation is obtained. A powerful Sine-Gordon expansion method is used for acquiring soliton solutions 2D Ginzburg-Landau equation. These solutions are obtained with the help of contemporary software (Maple) that allows computation of equations within the symbolic format. Some new solutions are depicted in the forms of figures. The Sine-Gordon method is applicable for solving various non-linear complex models such as, Quantum mechanics, plasma physics and biological science.
Citation Count: Imran, Ali;...et.al. (2021). "Investigation Of Electroosmosis Flow Of Copper Nanoparticles With Heat Transfer Due To Metachronal Rhythm", Thermal Science, Vol.25, No.SI2, 193-198.
Investigation Of Electroosmosis Flow Of Copper Nanoparticles With Heat Transfer Due To Metachronal Rhythm
(2021) Imran, Ali; Waheed, Asif; Javeed, Shumaila; Baleanu, Dumitru; Zeb, Muhammad; Ahmad, Sohail; 56389
A mathematical model is explored to establish the electroosmotic flow for Cu-wa-ter nanoliquids within a ciliated symmetric micro-channel, the flow is established with aid of ciliary motion and axial pressure gradient. Nanofluid comprise of Cu as a nanofluid particles and water as base fluid. Maxwell-Garnelt model is exploited for viscosity and thermal conductivity of nanoliquid. Magnetic field is applied in the transverse direction and external electric field is enforced in the axial direction. Equations of motion are simplified for nanofluid flow in the micro-channel by employing low Reynolds number and long wavelength approximation theory. Crucial exact analytical expression are gathered for electric potential, temperature profile, axial velocity, volume flux, pressure gradient, stream function, and result for pressure rise per wavelength explored numerically. The influence of crucial flow parameters on, flow behaviour, pumping phenomena, and temperature profile are thoroughly investigated. © 2021. Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions.
Citation Count: Javeed, Shumaila; Saif, Summaya; Baleanu, Dumitru (2018). New exact solutions of fractional Cahn-Allen equation and fractional DSW system, Advances in Difference Equations.
New exact solutions of fractional Cahn-Allen equation and fractional DSW system
(Pushpa Publishing House, 2018) Javeed, Shumaila; Saif, Summaya; Baleanu, Dumitru; 56389
This work explores the new exact solutions of nonlinear fractional partial differential equations (FPDEs). The solutions are obtained by adopting an effective technique, the first integral method (FIM). The Riemann-Liouville (R-L) derivative and conformable derivative definitions are used to deal with fractional terms in FPDEs. The proposed method is applied to get exact solutions for space-time fractional Cahn-Allen equation and coupled space-time fractional (Drinfeld's Sokolov-Wilson system) DSW system. The suggested technique is easily applicable and effectual, which can be implemented successfully to obtain the solutions for different types of nonlinear FPDEs.
Citation Count: Chu, Yu-Ming...et al. (2020). "New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation", Advances in Mathematical Physics, Vol. 2020.
New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
(2020) Chu, Yu-Ming; Javeed, Shumaila; Baleanu, Dumitru; Riaz, Sidra; Rezazadeh, Hadi; 56389
This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation. The considered models are significant in biology. The KPP equation describes genetic model for spread of dominant gene through population. The FHN equation is imperative in the study of intercellular trigger waves. Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection. The proposed technique FIM can be applied to find the exact solutions of PDEs. © 2020 Yu-Ming Chu et al.
Citation Count: Faiz, Zeshan;...et.al. (2023). "Numerical solutions of the Wolbachia invasive model using Levenberg-Marquardt backpropagation neural network technique", Results in Physics, Vol.50.
Numerical solutions of the Wolbachia invasive model using Levenberg-Marquardt backpropagation neural network technique
(2023) Faiz, Zeshan; Javeed, Shumaila; Ahmed, Iftikhar; Baleanu, Dumitru; Bilal Riaz, Muhammad; Sabir, Zulqurnain; 56389
The current study presents the numerical solutions of the Wolbachia invasive model (WIM) using the neural network Levenberg-Marquardt (NN-LM) backpropagation technique. The dynamics of the Wolbachia model is categorized into four classes, namely Wolbachia-uninfected aquatic mosquitoes (An∗), Wolbachia-uninfected adult female mosquitoes (Fn∗), Wolbachia-infected aquatic mosquitoes (Aw∗), and Wolbachia-infected adult female mosquitoes (Fw∗). A reference dataset for the proposed NN-LM technique is created by solving the Wolbachia model using the Runge-Kutta (RK) numerical method. The reference dataset is used for validation, training, and testing of the proposed NN-LM technique for three different cases. The obtained numerical results from the proposed neural network technique are compared with the results obtained from the RK method for accuracy, correctness, and efficiency of the designed methodology. The validation of the proposed solution methodology is checked through the mean square error (MSE), error histograms, error plots, regression plots, and fitness plots.
Citation Count: Javeed, Shumaila...et al. (2020). "Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique", Symmetry-Basel, Vol. 12, No. 1.
Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique
(2020) Javeed, Shumaila; Alimgeer, Khurram Saleem; Nawaz, Sidra; Waheed, Asif; Suleman, Muhammad; Baleanu, Dumitru; Atif, M.; 56389
This paper is based on finding the exact solutions for Burger's equation, Zakharov-Kuznetsov (ZK) equation and Kortewegde vries (KdV) equation by utilizing exponential function method that depends on the series of exponential functions. The exponential function method utilizes the homogeneous balancing principle to find the solutions of nonlinear equations. This method is simple, wide-reaching and helpful for finding the exact solution of nonlinear conformable PDEs.
Citation Count: Javeed, Shumaila...et al. (2021). "Soliton solutions of nonlinear Boussinesq models using the exponential function technique", Physica Scripta, Vol. 96, No. 10.
Soliton solutions of nonlinear Boussinesq models using the exponential function technique
(2021) Javeed, Shumaila; Baleanu, Dumitru; Nawaz, Sidra; Rezazadeh, Hadi; 56389
This paper deals with the new analytical solutions of conformable nonlinear Boussinesq equations. Boussinesq equation is one of the important equation in the field of applied mathematics and engineering, particularly in optical fibers, plasma physics, fluid dynamics, signal processing, and shallow water etc. The focus of this paper is to obtain the new explicit solutions of conformable Boussinesq equations. Exponential function technique is employed to solve the considered models. The conformable properties are utilized to obtain new analytical solutions for this type of nonlinear Boussinesq equations. The new analytical solutions are acquired especially for the space-time boussinesq equation. The results are shown graphically. The obtained solutions can be useful for engineers and physicists to further analyze the phenomena. The implemented technique is valuable for finding new analytical solutions of nonlinear partial differential equations (PDEs).
Citation Count: Tala-Tebue, Eric;...et.al. (2023). "Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method", Qualitative Theory of Dynamical Systems, Vol.22, No.3.
Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method
(2023) Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper; 56389
Our objective is to find new analytical solutions of the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant role in the development of quantum mechanics, particularly in the field of quantum Hall effect. Soliton solutions of the considered models are obtained such as, cnoidal solutions, the hyperbolic solutions and the trigonometric solutions. The obtained analytical solutions are new in the literature. The stability conditions of these solutions are also given. The obtained stable solutions are presented graphically for some specific parameters. Moreover, the conditions of modulational instability for both models are provided. The proposed method can be useful to obtain the analytical solutions of nonlinear partial differential equations.
Citation Count: Tala-Tebue, Eric...et al (2023). "Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method", Qualitative Theory of Dynamical Systems, Vol. 22, No. 3.
Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method
(2023) Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper; 56389
Our objective is to find new analytical solutions of the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant role in the development of quantum mechanics, particularly in the field of quantum Hall effect. Soliton solutions of the considered models are obtained such as, cnoidal solutions, the hyperbolic solutions and the trigonometric solutions. The obtained analytical solutions are new in the literature. The stability conditions of these solutions are also given. The obtained stable solutions are presented graphically for some specific parameters. Moreover, the conditions of modulational instability for both models are provided. The proposed method can be useful to obtain the analytical solutions of nonlinear partial differential equations.
Citation Count: Waheed, Asif...et.al. (2021). "Study Of Electro-Osmotıc Nanofluid Transport For Scraped Surface Heat Exchanger With Heat Transfer Phenomenon", Thermal Science, Vol.25, No.2, pp.213-218.
Study Of Electro-Osmotıc Nanofluid Transport For Scraped Surface Heat Exchanger With Heat Transfer Phenomenon
(2021) Waheed, Asif; Imran, Ali; Javeed, Shumaila; Baleanu, Dumitru; Zeb, Muhammad; Ahmad, Sohail; 56389
In this study a novel mathematical model for electroosmotic flow for Cu-water based nanofluid with heat transfer phenomenon is reported for scraped-surface heat exchanger. The flow is initiated due to motion of lower wall of the channel and axial pressure gradient. The flow is modelled with aid of low Reynolds number and lubrication approximation theory. Exact analytical expressions are gathered for axial velocity, and stream functions for various stations of scraped-surface heat exchanger. Physical phenomenon of electro osmotic parameter are investigated on velocity profile, velocity distribution and pressure rise at edge of the blades. It is reported that electro-osmotic parameter mainly works as dragging force, it can be used to control the flow. This controlling mechanism may be helpful in mixing different materials in scraped-surface heat exchanger. Pressure rise at edge of the blades mainly rises below the blades with electro-osmotic, whereas, this profiles is suppressed for region above the blades and between the blades.