Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other
variables dependent order have been successfully applied to investigate time and/or space …

Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

In the present study, a novel fractional Meyer neuro-evolution-based intelligent computing
solver (FMNEICS) is presented for numerical treatment of doubly singular multi-fractional …

The aim of this paper is to develop an accurate discretization technique to solve a class of
variable-order fractional (VOF) reaction-diffusion problems. In the spatial direction, the …

In this paper, Haar wavelet collocation technique is developed for the solution of Volterra
and Volterra–Fredholm fractional integro-differential equations. The Haar technique reduces …

The objective of this paper is to study the optimal control problem for the fractional
tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The …

Recently, robotic manipulators have been playing an increasingly critical part in scientific
research and industrial applications. However, modeling of robotic manipulators is …

In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a
class of variable order fractional nonlinear quadratic integro-differential equations (V …

In this work, a novel two-dimensional (2D) multi-term time-fractional mixed sub-diffusion and
diffusion-wave equation on convex domains will be considered. Different from the general …

This paper addresses the numerical solution of the multi-dimensional variable-order
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …