In the last decade, theoretical and applied studies were done in order to provide a suitable
definition of fractional derivative, which meets all the requirement of a derivative in its …

This article deals with a fractional extension of Biswas–Milovic (BM) model having Kerr and
parabolic law nonlinearities. The BM model plays a key role in describing the long-distance …

This paper is about to formulate a design of predator–prey model with constant and time
fractional variable order. The predator and prey act as agents in an ecosystem in this …

In this paper, we obtain analytical solutions for the fractional cubic isothermal auto-catalytic
chemical system with Caputo–Fabrizio and Atangana–Baleanu fractional time derivatives in …

In this paper, we model an ecological system consisting of a predator and two preys with the
newly derived two-step fractional Adams-Bashforth method via the Atangana-Baleanu …

In this paper, new analytical solutions for the RL, LC and RLC electric circuits considering
conformable and β-derivatives of type Liouville-Caputo were analyzed. These solutions …

In this paper, a fractional-order singular (FOS) predator–prey model with Holling type-II
functional response has been introduced, and the mathematical behavior of the model from …

Infectious diseases have caused the death of many people throughout the world for
centuries. For this purpose, many researchers have investigated these diseases for …

In this paper, we obtain approximate‐analytical solutions of a cancer chemotherapy effect
model involving fractional derivatives with exponential kernel and with general Mittag‐Leffler …

Human African trypanosomiasis has been a major problem in sub-Saharan countries
including Ghana. In this paper, a fractional human African trypanosomiasis model with …