This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …

In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed
for solving a class of time-fractional convection diffusion equations with variable coefficients …

The cable equation plays a central role in many areas of electrophysiology and in modeling
neuronal dynamics. This paper reports an accurate spectral collocation method for solving …

The applications of the diffusion wave model of a time-fractional kind with dam** and
reaction terms can occur within classical physics. This quantification of the activity can …

A shifted Legendre collocation method in two consecutive steps is developed and analyzed
to numerically solve one-and two-dimensional time fractional Schrödinger equations …

This paper is concerned with the global nonfragile Mittag-Leffler synchronization and the
global synchronization in finite time for fractional-order discontinuous neural networks …

In this paper, we apply the concept of Caputo's H-differentiability, constructed based on the
generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) …

In this study, the intelligent computational strength of neural networks (NNs) based on the
backpropagated Levenberg‐Marquardt (BLM) algorithm is utilized to investigate the …

In this paper, new operational matrices for shifted Legendre orthonormal polynomial are
derived. This polynomial is used as a basis function for develo** a new numerical …

Burgers' equation is a fundamental partial differential equation in fluid mechanics. This
paper reports a new space-time spectral algorithm for obtaining an approximate solution for …