D. L. Suthar
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View article: A fractional model based on caputo derivative for tuberculosis transmission using real data from Kenya
A fractional model based on caputo derivative for tuberculosis transmission using real data from Kenya Open
Tuberculosis (TB) remains one of the top infectious disease killers worldwide. It is caused by Mycobacterium tuberculosis and spread through the air, posing a serious threat to vulnerable populations, especially those with weakened immune …
View article: A mathematical exploration of HBV infection using fractional derivatives and the homotopy decomposition method
A mathematical exploration of HBV infection using fractional derivatives and the homotopy decomposition method Open
View article: Application of the generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si342.svg" display="inline" id="d1e333"><mml:mi>q</mml:mi></mml:math>-Mittag-Leffler function to fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si342.svg" display="inline" id="d1e338"><mml:mi>q</mml:mi></mml:math>-kinetic equations via <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si342.svg" display="inline" id="d1e343"><mml:mi>q</mml:mi></mml:math>-Shehu transform
Application of the generalized -Mittag-Leffler function to fractional -kinetic equations via -Shehu transform Open
View article: Modeling and analysis of the dynamics of an excessive gambling problem with modified fractional operator
Modeling and analysis of the dynamics of an excessive gambling problem with modified fractional operator Open
This work introduces a fractional-order model of gambling addiction using the modified Atangana-Baleanu-Caputo operator. We establish solution existence/uniqueness, derive the reproduction number R0, and analyze stability. Numerical result…
View article: Mathematical modeling of tuberculosis using Caputo fractional derivative: a comparative analysis with real data
Mathematical modeling of tuberculosis using Caputo fractional derivative: a comparative analysis with real data Open
View article: Boros integral involving the product of special functions and the incomplete I- function
Boros integral involving the product of special functions and the incomplete I- function Open
In this present research, we developed a three parameter Boros integral formula for the incomplete I-function along with the generalized multi-index Mittag- Leffler function (MLF) and Srivastava Polynomial. The derived outcomes are of a ge…
View article: A New <i>q</i>‐Integral Operator Containing Generalized <i>q</i>‐Mittag‐Leffler Function
A New <i>q</i>‐Integral Operator Containing Generalized <i>q</i>‐Mittag‐Leffler Function Open
In this study, we employ the mathematical framework of q‐calculus to introduce a novel integral operator that incorporates the generalized q ‐Mittag‐Leffler function. Following this introduction, we delve into an in‐depth analysis of sever…
View article: Abstract No: 229 The Impact of 8 Weeks of Intradialytic Aerobic Exercise on Cardio-vascular Endurance, Muscle Strength and Quality of Life in Individuals with End Stage Renal Disease on Maintenance Hemodialysis: A Randomized Controlled Trial
Abstract No: 229 The Impact of 8 Weeks of Intradialytic Aerobic Exercise on Cardio-vascular Endurance, Muscle Strength and Quality of Life in Individuals with End Stage Renal Disease on Maintenance Hemodialysis: A Randomized Controlled Trial Open
Background: Individuals with End Stage Renal Disease (ESRD) on Maintenance Hemodialysis (MHD) have significantly lower daily physical activity, aerobic capacity and muscle strength when compared to healthy individuals in the same age range…
View article: On the Generalized Class of Multivariable Humbert‐Type Polynomials
On the Generalized Class of Multivariable Humbert‐Type Polynomials Open
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and…
View article: A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications Open
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for th…
View article: Saigo Fractional <i>q</i>‐Differentiation Operator Involving Generalized <i>q</i>‐Mittag–Leffler Function
Saigo Fractional <i>q</i>‐Differentiation Operator Involving Generalized <i>q</i>‐Mittag–Leffler Function Open
The purpose of this study is to obtain the images of the generalized q ‐analogue of Mittag–Leffler functions under the Saigo fractional q ‐differentiation operator, where its argument consists of a factor . Corresponding assertions in term…
View article: Some New Application of Extended Wright Function
Some New Application of Extended Wright Function Open
This study introduces a novel extension of the Wright function using the Macdonald function as an extension of the Pochhammer symbol. We establish integral, differential, and generating function formulas for this new function. Furthermore,…
View article: Some New Integral Formulas Involving the Product of Multivariable Aleph Function, General Class of Srivastava Polynomials, M‐Series, and Hypergeometric Functions
Some New Integral Formulas Involving the Product of Multivariable Aleph Function, General Class of Srivastava Polynomials, M‐Series, and Hypergeometric Functions Open
Integral formulas play an important part in solving complicated scientific and technical problems. With this in mind, this study creates three essential formulas. These formulas include the product of the multivariable Aleph function, the …
View article: Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions
Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions Open
Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polyn…
View article: Applications of the generalized kober type fractional <i>q</i> -integral operator contain the <i>q</i> -analogue of M-function to the <i>q</i> -analogue of <i>H</i> -function
Applications of the generalized kober type fractional <i>q</i> -integral operator contain the <i>q</i> -analogue of M-function to the <i>q</i> -analogue of <i>H</i> -function Open
View article: Generalized Caputo–Fabrizio fractional operator: an application in image denoising
Generalized Caputo–Fabrizio fractional operator: an application in image denoising Open
The aim of the present paper is to propose the algorithm using the Caputo–Fabrizio fractional integral operator of non-singular type with the Mittag-Leffler function in the generalized form to find the coefficients of a kernel to remove th…
View article: A new solution approach to proportion delayed and heat like fractional partial differential equations
A new solution approach to proportion delayed and heat like fractional partial differential equations Open
The importance of fractional partial differential equations (FPDEs) may be observed in many fields of science and engineering. On the same hand their solutions and the approaches for the same are also very important to notice due to the ef…
View article: Optimization of parameters for image denoising algorithm pertaining to generalized Caputo-Fabrizio fractional operator
Optimization of parameters for image denoising algorithm pertaining to generalized Caputo-Fabrizio fractional operator Open
The aim of the present paper is to optimize the values of different parameters related to the image denoising algorithm involving Caputo Fabrizio fractional integral operator of non-singular type with the Mittag-Leffler function in general…
View article: Mathematical modeling of allelopathic stimulatory phytoplankton species using fractal–fractional derivatives
Mathematical modeling of allelopathic stimulatory phytoplankton species using fractal–fractional derivatives Open
In the current study, we employ the novel fractal-fractional operator in the Atangana-Baleanu sense to investigate the dynamics of an interacting phytoplankton species model. Initially, we utilize the Picard-Lindelöf theorem to validate th…
View article: Certain bilinear generating relations for <i>q</i> -analogue of <i>I</i> -function
Certain bilinear generating relations for <i>q</i> -analogue of <i>I</i> -function Open
The author presents a comprehensive analysis of some bilinear generating relations pertaining the q-polynomial class and the q-analogue of the I-function. The related conclusions for q-polynomials of q-Laguerre, q-Jacobi polynomials, and s…
View article: Fractional Lotka–Volterra equations by fractional reduced differential transform method
Fractional Lotka–Volterra equations by fractional reduced differential transform method Open
The Lotka–Volterra model arising in biology for simulating interactions between two species is considered in the paper with fractional order derivatives in Caputo sense. Two cases of the model are solved numerically using fractional reduce…
View article: Analysis of the COVID-19 pandemic and prediction with numerical methods
Analysis of the COVID-19 pandemic and prediction with numerical methods Open
Coronavirus spreads worldwide with various symptoms and strains such as COVID-19, SARS, MERS. Outbreak and prevention of the coronavirus can be studied by many mathematical models like SIR, SEIR and SEIQDR. In this paper, we employed Euler…
View article: Analysis of the nonlinear Fitzhugh–Nagumo equation and its derivative based on the Rabotnov fractional exponential function
Analysis of the nonlinear Fitzhugh–Nagumo equation and its derivative based on the Rabotnov fractional exponential function Open
The Fitzhugh–Nagumo equation is an essential governing equation that explains the process of impulse transmission from the nerves. This work suggests a novel generalized arbitrary-order Fitzhugh–Nagumo equation that is based on the recentl…
View article: Local fractional Laplace transform method to analyze fractional heat equation
Local fractional Laplace transform method to analyze fractional heat equation Open
This study uses variational iteration and the local fractional Laplace transform to get the analytical solution for fractal heat equation. A few examples show how the approach can be used in practice to find non-differentiable solutions to…
View article: Inclusion and Neighborhood on a Multivalent <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>q</mml:mi></mml:math>-Symmetric Function with Poisson Distribution Operators
Inclusion and Neighborhood on a Multivalent -Symmetric Function with Poisson Distribution Operators Open
In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent -symmetric starlike and -symmetric convex functions of order are examined. Then, by utilizing the Poisson distribution and the concept …
View article: A novel fractionalized investigation of tuberculosis disease
A novel fractionalized investigation of tuberculosis disease Open
In this study, we investigate novel fractional tuberculosis model with Caputo fractional derivative. The computational solution of the fractional tuberculosis disease is obtained with the help of the generalized Euler's method (GEM). This …
View article: Certain properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg" display="inline" id="d1e26"><mml:mi>q</mml:mi></mml:math>-analogue of M-function
Certain properties of -analogue of M-function Open
The intent of this work is to create and study certain fundamental characteristics of new generalizations of the M-function using q-calculus. We establish its characteristics, like the convergence condition, recurrence relation, integral r…
View article: SOME RESULTS ON YAMABE SOLITONS ON NEARLY HYPERBOLIC SASAKIAN MANIFOLDS
SOME RESULTS ON YAMABE SOLITONS ON NEARLY HYPERBOLIC SASAKIAN MANIFOLDS Open
We classify almost Yamabe on nearly hyperbolic Sasakian manifolds whose potential vector field is torse-forming admitting semi-symmetric metric connection and quarter symmetric non-metric connection. Certain results of such solitons on CR-…
View article: Predicting the solution of fractional order differential equations with Artificial Neural Network
Predicting the solution of fractional order differential equations with Artificial Neural Network Open
The present paper aims to propose an approximation method of Caputo fractional operator using discretization based on quadrature theory to minimize the error function for an Artificial Neural Network (ANN) with higher convergence rate. In …
View article: Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator
Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator Open
The Navier–Stokes equation is a key governing equation for the motion of viscous fluid flow. The main target of our work is to obtain the solution to multi-dimensional Navier–Stokes equations in the Yang–Abdel–Cattani fractional sense. The…