In this work, we formulate and analyze a new mathematical model for COVID-19 epidemic
with isolated class in fractional order. This model is described by a system of fractional-order …

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 …

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 …

We propose a new mathematical model for the simulation of the dynamics of a dengue fever
outbreak. Our model differs from the classical model in that it involves nonlinear differential …

The present paper considers a delayed generalized fractional-order prey-predator model
with interspecific competition. The existence of the nontrivial positive equilibrium is …

Fractional-order Hopfield neural networks are often used to model how interacting neurons
process information. To show reliability of the processed information, it is needed to perform …

In this paper, we present a nonlinear fractional order model in the Caputo sense to explore
and simulate the TB dynamics. Using the TB confirmed notified cases from the year 2002 to …

This paper deals with the problem of existence and uniform stability analysis of fractional-
order complex-valued neural networks with constant time delays. Complex-valued recurrent …

In order to depict a situation of possible spread of infection from prey to predator, a fractional-
order model is developed and its dynamics is surveyed in terms of boundedness …

Fractional calculus has been found to be a promising area of research for information
processing and modeling of some physical systems. In this paper, we propose a fractional …