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 …

This paper is concerned with an operational matrix method based on the shifted Legendre
cardinal functions for solving the nonlinear variable-order time fractional Schrödinger …

In this study, a new optimization algorithm, called King, is introduced for solving variable
order fractional optimal control problems (VO-FOCPs). The variable order fractional …

In this paper, a new direct method based on the Chebyshev cardinal functions is proposed
to solve a class of variable-order fractional optimal control problems (V-OFOCPs). To this …

We firstly generalize a multi-term time fractional diffusion-wave equation to the multi-term
variable-order time fractional diffusion-wave equation (MV-TFD-E) by the concept of variable …

This paper is concerned with a computational approach based on the Chebyshev cardinal
wavelets for a novel class of nonlinear stochastic differential equations characterized by the …

In this paper, a new set of basis functions called the piecewise Chebyshev cardinal functions
is generated to investigate a class of constrained fractional optimal control problems. These …

This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …

In this paper, we generalize a one-dimensional fractional diffusion-wave equation to a one-
dimensional variable-order space-time fractional nonlinear diffusion-wave equation (V-OS …