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) …
Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model
The aim of this study is to develop the Fibonacci wavelet method together with the quasi‐
linearization technique to solve the fractional‐order logistic growth model. The block‐pulse …
linearization technique to solve the fractional‐order logistic growth model. The block‐pulse …
A power series method for the fuzzy fractional logistic differential equation
Power series, as an important means to analyze functions in different complex settings, are
employed in various applied areas to solve differential equations and nonlinear problems …
employed in various applied areas to solve differential equations and nonlinear problems …
Accurate and efficient matrix techniques for solving the fractional Lotka–Volterra population model
This paper aims to develop accurate novel collocation techniques for solving a fractional
fractional-order Lotka–Volterra (LV) predator–prey model. This type of equation has a wide …
fractional-order Lotka–Volterra (LV) predator–prey model. This type of equation has a wide …
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 …
Generalized Bessel polynomial for multi-order fractional differential equations
The main goal of this paper is to define a simple but effective method for approximating
solutions of multi-order fractional differential equations relying on Caputo fractional …
solutions of multi-order fractional differential equations relying on Caputo fractional …
Numerical approximations to the nonlinear fractional-order Logistic population model with fractional-order Bessel and Legendre bases
M Izadi, HM Srivastava - Chaos, Solitons & Fractals, 2021 - Elsevier
The main aim of this manuscript is to obtain the approximate solutions of the nonlinear
Logistic equation of fractional order by developing a collocation approach based on the …
Logistic equation of fractional order by developing a collocation approach based on the …
A discretization approach for the nonlinear fractional logistic equation
M Izadi, HM Srivastava - Entropy, 2020 - mdpi.com
The present study aimed to develop and investigate the local discontinuous Galerkin
method for the numerical solution of the fractional logistic differential equation, occurring in …
method for the numerical solution of the fractional logistic differential equation, occurring in …
Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains
The paper exhibits a practical and effective scheme to approximate the solutions of a class
of fractional differential equations known as the Bagley-Torvik equations. The underlying …
of fractional differential equations known as the Bagley-Torvik equations. The underlying …
Approximating solutions of non-linear Troesch's problem via an efficient quasi-linearization Bessel approach
Two collocation-based methods utilizing the novel Bessel polynomials (with positive
coefficients) are developed for solving the non-linear Troesch's problem. In the first …
coefficients) are developed for solving the non-linear Troesch's problem. In the first …