A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

On a coupled Caputo conformable system of pantograph problems

S THABET, S ETEMAD… - Turkish Journal of …, 2021 - journals.tubitak.gov.tr
Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

P Rahimkhani, Y Ordokhani, E Babolian - Numerical Algorithms, 2017 - Springer
In this research, a Bernoulli wavelet operational matrix of fractional integration is presented.
Bernoulli wavelets and their properties are employed for deriving a general procedure for …

[HTML][HTML] Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet

P Rahimkhani, Y Ordokhani, E Babolian - Journal of Computational and …, 2017 - Elsevier
In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

Approximation methods for solving fractional equations

SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …

A study on fractional COVID‐19 disease model by using Hermite wavelets

S Kumar, R Kumar, S Momani… - Mathematical Methods in …, 2023 - Wiley Online Library
The preeminent target of present study is to reveal the speed characteristic of ongoing
outbreak COVID‐19 due to novel coronavirus. On January 2020, the novel coronavirus …

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 …

Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations

S Kumbinarasaiah, G Manohara… - … and Computers in …, 2023 - Elsevier
In the present paper, we developed the functional matrix of integration via Bernoulli wavelets
and generated a competent numerical scheme to solve the nonlinear system of singular …

Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations

P Rahimkhani, Y Ordokhani, E Babolian - Numerical Algorithms, 2018 - Springer
This paper presents a new computational technique for solving fractional pantograph
differential equations. The fractional derivative is described in the Caputo sense. The main …