Kamal Shah
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View article: Numerical analysis of a coupled system for fractional stochastic differential equations
Numerical analysis of a coupled system for fractional stochastic differential equations Open
The coupled nature of a dynamical system and fractional derivatives has highly significant to observed complex behaviors of real-world problem, especially including randomness and sudden fluctuations. To model the nature of such a complica…
View article: Rational contractions of the Geraghty and Dass-Gupta type in super metric spaces with applications
Rational contractions of the Geraghty and Dass-Gupta type in super metric spaces with applications Open
The purpose of this paper is to prove the fixed point results for rational contractions of the Geraghty and Dass-Gupta type in a super metric spaces. Unlike the other authors, we have only used the first two characteristics of Wardowski’s …
View article: Coherent control of optical lattices and optical unit cells in atomic medium by counter propagation of Laguerre Gaussian beams
Coherent control of optical lattices and optical unit cells in atomic medium by counter propagation of Laguerre Gaussian beams Open
This manuscript explores the coherent control of optical lattices and optical unit cells. Optical lattices are formed by the counter-propagation of Laguerre Gaussian beams within an atomic medium. Variations in absorption and the refractiv…
View article: Exploring the Effectiveness of an Optimal Control Model for Marijuana Consumption
Exploring the Effectiveness of an Optimal Control Model for Marijuana Consumption Open
The primary aims of this research is to reduce marijuana use within the general population, addressing its harmful effects and its status as an illegal substance that poses ongoing risks to public health in developing countries. To tackle …
View article: Solving age-dependent infectious diseases and tumor growth models using the contraction approach
Solving age-dependent infectious diseases and tumor growth models using the contraction approach Open
This study establishes existence and uniqueness theorems for solution sets in three domains of biological modeling: age-dependent diseases infectiousness, infectious disease transmission, and tumor growth dynamics. We illustrate that fixed…
View article: Using treatment and vaccination strategies to investigate transmission dynamics of influenza mathematical model
Using treatment and vaccination strategies to investigate transmission dynamics of influenza mathematical model Open
In this study, we built a deterministic compartmental mathematical model for understanding the transmission dynamics of influenza. The model includes multiple infection phases, including susceptible, exposed, carrier, infected, hospitalize…
View article: USING NEURAL NETWORK AND FRACTALS FRACTIONAL ANALYSIS TO PREDICT THE EYE DISEASE INFECTION CAUSED BY CONJUNCTIVITIS VIRUS
USING NEURAL NETWORK AND FRACTALS FRACTIONAL ANALYSIS TO PREDICT THE EYE DISEASE INFECTION CAUSED BY CONJUNCTIVITIS VIRUS Open
The fractals and fractions differential operations along with artificial intelligence-based neural networks are used to study eye infectious disease caused by conjunctivitis virus. The deduction of pertinent results for the existence theor…
View article: INVESTIGATING JERK PHENOMENON BY USING FRACTAL-FRACTIONAL ANALYSIS
INVESTIGATING JERK PHENOMENON BY USING FRACTAL-FRACTIONAL ANALYSIS Open
Fractal-fractional calculus has attracted much attention in the last few years due to its wide range applications in various disciplines of science and technology. The class of differential equations with order lying in [Formula: see text]…
View article: Investigation of Existence and Ulam's type Stability for Coupled Fractal Fractional Differential Equations
Investigation of Existence and Ulam's type Stability for Coupled Fractal Fractional Differential Equations Open
In this study, we investigate the coupled system of fractal fractional differential equations (FFDEs) from an existence and stability point of view. The area related to coupled FFDEs is significant because its permitting us to analyze and …
View article: Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives
Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives Open
A virus mutation model under piecewise fractional order derivatives involving Mittag-Leffler type kernel has been studied in this manuscript. As mutation is an important phenomenon for the survival of virus. The concerned study aims to det…
View article: A Mathematical Model of COVID-19 Using Piecewise Derivative of Fractional Order
A Mathematical Model of COVID-19 Using Piecewise Derivative of Fractional Order Open
Currently the dynamical systems of infectious disease were studied by using various definitions of fractional calculus. Because the mentioned area has the ability to demonstrate the short and long memory terms involve in the physical dynami…
View article: Variable thermal conductivity effects on MHD flow of non-Newtonian ternary hybrid nanofluid between rotating disks, A Cattaneo–Christov heat transfer analysis
Variable thermal conductivity effects on MHD flow of non-Newtonian ternary hybrid nanofluid between rotating disks, A Cattaneo–Christov heat transfer analysis Open
This work has been motivated by the increasing need for fluid flow optimization and advanced thermal management systems in engineering applications that demand superior heat transfer characteristics. The study examines the casson fluid and…
View article: A mathematical analysis of human papilloma virus (HPV) disease with new perspectives of fractional calculus
A mathematical analysis of human papilloma virus (HPV) disease with new perspectives of fractional calculus Open
The human papilloma virus (HPV) presents a significant global public health challenge, especially in regions with limited access to healthcare and preventive measures. This study introduces a novel mathematical model to analyze the transmi…
View article: Mathematical insights into chaos in fractional-order fishery model
Mathematical insights into chaos in fractional-order fishery model Open
This study investigates the dynamics of a fractional-order model applied to fishery management to better illustrate the behavior of fish populations over time in a two-zone aquatic environment. The zones consist of unreserve and reserve zo…
View article: Dynamic Algorithm Selection for Replication using RSYNC
Dynamic Algorithm Selection for Replication using RSYNC Open
Introduction: In the era of big data and distributed systems, efficient data replication is essential for maintaining data availability, consistency, and performance. Rsync, a widely used file synchronization tool, utilizes compression alg…
View article: Solving one- and two-dimensional advection-diffusion type initial boundary value problems with a wavelet hybrid scheme
Solving one- and two-dimensional advection-diffusion type initial boundary value problems with a wavelet hybrid scheme Open
In this paper, we present a hybrid numerical scheme to solve linear and nonlinear advection-diffusion type partial differential equations. We propose a hybrid procedure that couples the Haar wavelet (HW) with a time integrator solver based…
View article: Comprehensive Validation: Enhancing the Modified NERAH Model via Rigorous Sensitivity Analysis
Comprehensive Validation: Enhancing the Modified NERAH Model via Rigorous Sensitivity Analysis Open
Marijuana is an illegal drug with several detrimental health impacts, remaining a significant threat to public health in developing nations. Transmission of marijuana occurs through interactions between smokers and non-smokers. The NERAH m…
View article: Numerical solution of two dimensional time-fractional telegraph equation using Chebyshev spectral collocation method
Numerical solution of two dimensional time-fractional telegraph equation using Chebyshev spectral collocation method Open
The 2D telegraph equation has numerous applications, such as signal processing, diffusion of biological species, and modeling wave propagation in electrical transmission lines. In this article, we present an efficient numerical scheme for …
View article: Numerical technique based on Bernstein polynomials approach for solving auto-convolution VIEs and the initial value problem of auto-convolution VIDEs
Numerical technique based on Bernstein polynomials approach for solving auto-convolution VIEs and the initial value problem of auto-convolution VIDEs Open
This study introduces a computational technique aimed at solving the auto-convolution Volterra integral equation (AVIE) and the auto-convolution Volterra integro-differential equation (AVIDE). In this approach, we use the Bernstein approxi…
View article: On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function
On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function Open
In recent years, the Atangana-Baleanu (AB) fractal-fractional derivatives are widely used in many fields. In 2017, Atangana defined such operators by utilizing one parameter Mittag-Leffler function (M-L) function. Such operators have not y…
View article: Exploring the dynamics of Gumboro-Salmonella co-infection with fractal fractional analysis
Exploring the dynamics of Gumboro-Salmonella co-infection with fractal fractional analysis Open
The present work is related to investigate a dynamical problem of co-infection disease model due to Gumboro-Salmonella. For the suggested investigation, we have considered the Riemann–Liouville fractals fractional derivative introduced by …
View article: AN EFFICIENT WAVELET TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL EQUATIONS ARISING IN CONTAMINANT TRANSPORT THROUGH POROUS MEDIA
AN EFFICIENT WAVELET TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL EQUATIONS ARISING IN CONTAMINANT TRANSPORT THROUGH POROUS MEDIA Open
An efficient numerical scheme to approximate the variable-order (V-O) space-time fractional advection–dispersion equation (S-TFADE) is given in this study. The equation is derived from the standard advection-dispersion equation by replacin…
View article: Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator
Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator Open
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral o…
View article: STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES
STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES Open
Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models hav…