The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

This paper investigates chaotic behavior and stability of fractional differential equations
within a new generalized Caputo derivative. A semi–analytical method is proposed based …

In this paper, the global stability analysis of fractional-order Hopfield neural networks with
time delay is investigated. A stability theorem for linear fractional-order systems with time …

Synchronization of fractional order chaotic dynamical systems is receiving increasing
attention owing to its interesting applications in secure communications of analog and digital …

In this paper, we modified the Predictor-Corrector scheme to simulate the delay differential
equations in new generalised Caputo-type non-classical derivatives sense. We provided …

In this manuscript, fractional order is introduced onto a time‐delay differential equation
model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered …

In this work, we study chaos control and synchronization of the commensurate fractional
order Liu system. Based on the stability theory of fractional order systems, the conditions of …

Existence results and the monotone iterative technique for systems of nonlinear fractional
differential equations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

It is an important issue to estimate parameters of fractional-order chaotic systems in
nonlinear science, which has received increasing interest in recent years. In this paper, time …

The knowledge about parameters and order is very important for synchronization of
fractional-order chaotic systems. In this article, identification of parameters and order of …