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

New variable-order fractional chaotic systems are proposed in this paper. A concept of short
memory is introduced where the initial point in the Caputo derivative is varied. The fractional …

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

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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, we study the stability of n-dimensional linear fractional differential equation
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …

In this paper, we further discuss the properties of three kinds of fractional derivatives: the
Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative …

The analysis of circuit employing the Kirchhoff's circuit laws also known as dynamics of
Chua's circuit is extended in this work using the newly established fractional derivative with …

This study examines the two most attractive characteristics, memory and chaos, in
simulations of financial systems. A fractional-order financial system is proposed in this study …

Adams-Bashforth-Moulton algorithm has been extended to solve delay differential equations
of fractional order. Numerical illustrations are presented to demonstrate utility of the method …