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 Caputo-based fractional compartmental model for the dynamics of the novel
COVID-19 pandemic. The newly proposed nonlinear fractional order model is an extension …

This research investigates the discrete prey–predator model by including harvesting on the
predator population, in the sense of Caputo fractional derivative. We define the topological …

In this paper, we formulate and study a new fractional-order SIS epidemic model with fear
effect of an infectious disease and treatment control. The existence and uniqueness …

In this paper, we propose a fractional-order prey-predator model with infection on both
populations. First, we prove some important results such as existence, uniqueness, non …

We consider the fractional order epidemic model based on assumption that people will
recover after disease and may be infected again on a time interval of non fatal disease. Our …

The present paper deals with a fractional-order mathematical epidemic model of malaria
transmission accompanied by temporary immunity and relapse. The model is revised by …

In this paper, a fractional-order model of tumor-immune system interaction has been
considered. In modeling dynamics, the total population of the model is divided into three …

Several epidemiological models use the Caputo fractional-order differential operator without
establishing its significance. This study verifies a Caputo operator-based fractional-order …

In this paper, optimal control of a general nonlinear multi‐strain tuberculosis (TB) model that
incorporates three strains drug‐sensitive, emerging multi‐drug resistant and extensively …