Solving some physics problems involving fractional-order differential equations with the Morgan-Voyce polynomials
In this research, we present a new computational technique for solving some physics
problems involving fractional-order differential equations including the famous Bagley …
problems involving fractional-order differential equations including the famous Bagley …
A novel matrix technique for multi-order pantograph differential equations of fractional order
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) …
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
The main aim of this manuscript is to obtain the approximate solutions of the nonlinear
Logistic equation of fractional order by develo** a collocation approach based on the …
Logistic equation of fractional order by develo** a collocation approach based on the …
A spectral collocation method for solving the non-linear distributed-order fractional Bagley–Torvik differential equation
One of the issues in numerical solution analysis is the non-linear distributed-order fractional
Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We …
Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We …
A discretization approach for the nonlinear fractional logistic equation
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 …
Design of neuro-swarming computational solver for the fractional Bagley–Torvik mathematical model
This study is to introduce a novel design and implementation of a neuro-swarming
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …
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 …
Generalized bessel quasilinearization technique applied to bratu and lane–emden-type equations of arbitrary order
The ultimate goal of this study is to develop a numerically effective approximation technique
to acquire numerical solutions of the integer and fractional-order Bratu and the singular …
to acquire numerical solutions of the integer and fractional-order Bratu and the singular …