In this review paper, the finite difference methods (FDMs) for the fractional differential
equations are displayed. The considered equations mainly include the fractional kinetic …

Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

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

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

This paper presents a brief overview of recent developments in chaos synchronization in
coupled fractional differential systems, where the original viewpoints are retained. In …

This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …

This paper is devoted to the study of Caputo modification of the Hadamard fractional
derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified …

In this paper, time-fractional partial differential equations (FPDEs) involving singular and non-
singular kernel are considered. We have obtained the approximate analytical solution for …

The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …

In this work, we aim to propose a hybrid fractional-order model for investigation and
observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) …