Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …

In the end of 2019, a new type of coronavirus first appeared in Wuhan. Through the real-data
of COVID-19 from January 23 to March 18, 2020, this paper proposes a fractional SEIHDR …

In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

The trait of solution, bifurcation mechanism, and stability of delayed BAM neural network
models have attracted great attention from many scholars. But the exploration about the …

The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …

A new lemma for the Caputo fractional derivatives, when 0< α< 1, is proposed in this paper.
This result has proved to be useful in order to apply the fractional-order extension of …

This paper presents two new lemmas related to the Caputo fractional derivatives, when α∈
0, 1, for the case of general quadratic forms and for the case where the trace of the product …

In this paper, a fractional-order predator-prey model incorporating a prey refuge is proposed.
We first prove the existence, uniqueness, non-negativity and boundedness of the solutions …

In this paper, a nonlinear Volterra integro-differential equation with Caputo fractional
derivative, multiple kernels, and multiple constant delays is considered. The aim of this …

In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …