Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

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 …

Fractional calculus, which has two main features—singularity and nonlocality from its origin—
means integration and differentiation of any positive real order or even complex order. It has …

One of the control measures available that are believed to be the most reliable methods of
curbing the spread of coronavirus at the moment if they were to be successfully applied is …

The area of fractional calculus (FC) has been fast developing and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …

This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

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