Differential equations involving fractional order operators appear frequently in various
research areas. Solving a differential equation containing a fractional derivative is very …

This article employs the Laplace transform approach to solve the Bagley–Torvik equation
including Caputo's fractional derivative. Laplace transform is a powerful method for enabling …

In this article, we have used the Legendre artificial neural network to find the solution of the
Bagley–Torvik equation, which is a fractional-order ordinary differential equation. Caputo …

A highly accurate numerical method is given for the solution of boundary value problem of
generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0< β< 2 0< β< 2 …

Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish
new existence and uniqueness result for a type of fractional Bagley–Torvik differential …

In this paper, we investigate the generalized Bagley–Torvik equation with the fractional
order (0, 2) (0,2). With a novel max-metric containing a Caputo derivative, the existence and …

The fractional Bagley-Torvik system (FBTS) is initially created by utilizing fractional calculus
to study the demeanor of real materials. It can be described as the dynamics of an inflexible …

In this paper, the exact solution of the Bagley-Torvik equation which has an important role in
fractional order differential equations has been investigated by Laplace transformation …

Apresentamos neste trabalho uma breve revisão sobre o cálculo fracionário e também o
método de Adam-Bashforth fracionário para solução de equações diferenciais fracionárias …

A new numerical method is developed for solving the fractional boundaryvalue problems of
the generalized Bagley-Torvik equation including Caputoderivative of order 0< β< 2. The …