Our aim in this research is to investigate the motion of a beam on an internally bent
nanowire by using the fractional calculus theory. To this end, we first formulate the classical …

Fractional equations have been paid much attention in recent years. Barycentric
interpolation collocation algorithm (BICA) is proposed to solve the fractional differential …

In this work, a general class of pantograph type nonlinear fractional integro-differential
equations (PT-FIDEs) with non-singular and non-local kernel is considered. A numerical …

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 …

This article discussed and analyzed a numerical technique based on fractional-order
Lagrange polynomials to solve a class of fractional-order non-linear Volterra-Fredholm …

The main purpose of this work is to provide an efficient method for solving delay fractional
optimal control problems (DFOCPs). Our method is based on fractional-order Lagrange …

In this article, we proposed an efficient numerical technique for the solution of fractional-
order (1+ 1) dimensional telegraph equation using the Laguerre wavelet collocation method …

This article deals with constructing an operational matrix method based on fractional-order
Lagrange polynomials to solve the non-local boundary value problems (BVPs) of fractional …

This paper studies a numerical technique to solve general variable-order partial differential
equations. We present a general variable-order Riemann-Liouville pseudo-operational …

In this work, a new computational scheme namely fractional-order Genocchi deep neural
network (FGDNN) is introduced to solve a class of nonlinear stochastic differential equations …