Chaotic behaviour of fractional predator-prey dynamical system
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …
fractional predator-prey biological model of two species. The theoretical results with their …
An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …
fractional SIR model with unknown parameters. The SIR model is a system of differential …
A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations
In this paper, we present analytical solutions for linear and nonlinear neutral Caputo-
fractional pantograph differential equations. An attractive new method we called the Laplace …
fractional pantograph differential equations. An attractive new method we called the Laplace …
A novel matrix technique for multi-order pantograph differential equations of fractional order
M Izadi, HM Srivastava - Proceedings of the Royal …, 2021 - royalsocietypublishing.org
The main purpose of this article is to investigate a novel set of (orthogonal) basis functions
for treating a class of multi-order fractional pantograph differential equations (MOFPDEs) …
for treating a class of multi-order fractional pantograph differential equations (MOFPDEs) …
Numerical simulation for fractional delay differential equations
H Singh - International Journal of Dynamics and Control, 2021 - Springer
In the present paper we numerically simulate our results for fractional delay differential
equations. In delay differential the evolution of state at a time depends on the past time and …
equations. In delay differential the evolution of state at a time depends on the past time and …
Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
This paper presents a new computational technique for solving fractional pantograph
differential equations. The fractional derivative is described in the Caputo sense. The main …
differential equations. The fractional derivative is described in the Caputo sense. The main …
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type
MS Hashemi, E Ashpazzadeh, M Moharrami… - Applied Numerical …, 2021 - Elsevier
In this article, we develop a new set of functions called fractional-order Alpert multiwavelet
functions to obtain the numerical solution of fractional pantograph differential equations …
functions to obtain the numerical solution of fractional pantograph differential equations …
Chebyshev spectral methods for multi-order fractional neutral pantograph equations
This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis
In this paper, we investigate the possible treatment of a class of fractional-order delay
differential equations. In delay differential equations, the evolution of the state depends on …
differential equations. In delay differential equations, the evolution of the state depends on …
Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations
SC Shiralashetti, S Kumbinarasaiah - Applied Mathematics and …, 2017 - Elsevier
In this article, a new method is generated to solve nonlinear Lane–Emden type equations
using Legendre, Hermite and Laguerre wavelets. We are interested to note that these …
using Legendre, Hermite and Laguerre wavelets. We are interested to note that these …