Samia Bushnaq
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View article: Analysis of a Smoking Dynamics Model with Age-Dependent Incidence Function
Analysis of a Smoking Dynamics Model with Age-Dependent Incidence Function Open
Smoking remains a major public health concern, influenced significantly by age structure and household environments. In this study, we develop and analyze an age-structured mathematical model that incorporates age-dependent incidence and h…
View article: A new and efficient numerical algorithm to solve fractional boundary value problems
A new and efficient numerical algorithm to solve fractional boundary value problems Open
In this paper, we developed a new numerical technique based on Lagrange interpolation polynomials to obtain the solutions of fractional higher order nonlinear boundary value problems. The newly established method is named the Lagrange Inte…
View article: On computation of solution for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e1871"><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> dimensional fractional order general wave equation
On computation of solution for dimensional fractional order general wave equation Open
In this research article, we handle a class of (2+1) dimensional wave equations under fractional-order derivatives using an iterative integral transform due to Laplace. The concerned derivative is taken in the Caputo’s sense. The proposed …
View article: Numerical simulation of time-dependent viscous fluid flow with upward and downward fluctuation of spinning disk
Numerical simulation of time-dependent viscous fluid flow with upward and downward fluctuation of spinning disk Open
The parametric approach towards time-dependent viscous fluid flow across a gyrating disk with upward and downward fluctuation. The major goal of this research is to assess fluid flow under the influence of magnetic fields and heat propagat…
View article: Numerical investigation of fractional Fisher partial differential equation via natural transform decomposition method
Numerical investigation of fractional Fisher partial differential equation via natural transform decomposition method Open
In modern Science, a Fisher non-linear differential equation plays a significant role due to its diverse applications in fisher hypothesis, mathematical biology, engineering, physics and ecology. In this regard, the authors utilized the Na…
View article: Existence theory and numerical simulations of variable order model of infectious disease
Existence theory and numerical simulations of variable order model of infectious disease Open
This study uses variable order differentiation and integration to investigate the disease dynamical model of COVID-19. Here, we update the results of the qualitative and quantitative analysis. We obtain necessary conclusions for the existe…
View article: Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method
Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method Open
In this research article, we handle the susceptible infected-recovered (SIR) model of the dengue fever epidemic under Caputo Fabrizio fractional derivative.The dengue fever disease is a complicated disease because of the connection it crea…
View article: A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations
A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations Open
The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analy…
View article: Applications of New Iterative Method to fractional non linear coupled ITO system
Applications of New Iterative Method to fractional non linear coupled ITO system Open
In this article New Iterative Method (NIM) is tested upon time fractional coupled ITO system. The results obtained by the proposed method are compared with that of Homotopy Perturbation Method (HPM). It is shown that the proposed method is…
View article: Computation of numerical solutions to variable order fractional differential equations by using non-orthogonal basis
Computation of numerical solutions to variable order fractional differential equations by using non-orthogonal basis Open
In this work, we present some numerical results about variable order fractional differential equations (VOFDEs). For the said numerical analysis, we use Bernstein polynomials (BPs) with non-orthogonal basis. The method we use does not need…
View article: The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach
The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach Open
COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently, researchers have been concentrating their efforts on understanding the complex dynamics of this widespread illness. Mathematics plays a big role …
View article: Control of COVID-19 dynamics through a fractional-order model
Control of COVID-19 dynamics through a fractional-order model Open
View article: On modeling of coronavirus-19 disease under Mittag-Leffler power law
On modeling of coronavirus-19 disease under Mittag-Leffler power law Open
This paper investigates a new model on coronavirus-19 disease (COVID-19) with three compartments including susceptible, infected, and recovered class under Mittag-Leffler type derivative. The mentioned derivative has been introduced by Ata…
View article: Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method Open
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s int…
View article: An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations
An extension of the optimal homotopy asymptotic method with applications to nonlinear coupled partial differential equations Open
In this paper, we applied an extension of optimal homotopy asymptotic method (EOHAM) for the approximate solution of coupled partial differential equations (PDEs).The obtained results are compared with other results for its efficiency.The …
View article: Approximate solutions to nonlinear factional order partial differential equations arising in ion-acoustic waves
Approximate solutions to nonlinear factional order partial differential equations arising in ion-acoustic waves Open
An approximative procedure named asymptotic homotopy perturbation method (AHPM) is introduced to obtain solutions of the non-linear fractional order models. The two special cases, FZK(3; 3; 3) and FZK(2; 2; 2) of fractional Zakharov-Kuznet…
View article: Numerical solutions to systems of fractional Voltera Integro differential equations, using Chebyshev wavelet method
Numerical solutions to systems of fractional Voltera Integro differential equations, using Chebyshev wavelet method Open
The Chebyshev Wavelet Method (CWM) is applied to evaluate the numerical solutions of some systems of linear fractional Voltera integro differential equations (FVIDEs). The applicability and validity of the proposed method is ensured by dis…
View article: Exact solution to non-linear biological population model with fractional order
Exact solution to non-linear biological population model with fractional order Open
In this paper, optimal homotopy asymptotic method has been extended to seek out the exact solution of fractional generalized biological population models. The time fractional derivatives are described in the Caputo sense. It optimal homoto…
View article: Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative Open
This manuscript is concerned to the existence and stability of HIV/AIDS infection model with fractional order derivative. The corresponding derivative is taken in Caputo-Fabrizio sense, which is a new approach for such type of biological m…
View article: On nonlinear implicit fractional differential equations without compactness
On nonlinear implicit fractional differential equations without compactness Open
The main purpose of this research paper is to develop some sufficient conditions for the existence of solution of a nonlinear problem of implicit fractional differential equations (IFDEs) with boundary conditions, using prior estimate meth…
View article: INVESTIGATING AT LEAST ONE SOLUTION TO A SYSTEMS OF MULTI-POINTS BOUNDARY VALUE PROBLEMS
INVESTIGATING AT LEAST ONE SOLUTION TO A SYSTEMS OF MULTI-POINTS BOUNDARY VALUE PROBLEMS Open
Current article is concerned with the investigating a coupled systems of boundary value problems(BVPs) of fractional order differential equations(FDEs). By means of classical fixed point theorems, we prove the existence and uniqueness of p…
View article: APPLICATION OF MULTISTEP REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GIVING UP SMOKING MODEL
APPLICATION OF MULTISTEP REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GIVING UP SMOKING MODEL Open
Smoking is the leading avoidable cause of death in the world.In this paper, we apply the Reproducing Kernel Hilbert Space method on the giving up smoking model to find an approximate solution of the model then we compare it with the fourth…