In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics
are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third …

The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …

In this paper, we provide an epidemic SIR model with long-range temporal memory. The
model is governed by delay differential equations with fractional-order. We assume that the …

We provide a class of fractional‐order differential models of biological systems with memory,
such as dynamics of tumor‐immune system and dynamics of HIV infection of CD4+ T cells …

Theoretical and numerical studies of fractional conformable stochastic integrodifferential
equations are introduced in this study. Herein, to emphasize the solution's existence, we …

In this work, optimal control for a fractional-order nonlinear mathematical model of cancer
treatment is presented. The suggested model is determined by a system of eighteen …

In this paper, a fractional dynamical system of predator–prey with Holling type-II functional
response and time delay is studied. Local and global stability of existence steady states and …

In this paper, we introduce a fractional order SEIR model with vertical transmission within a
nonconstant population. We show that the model introduced in this paper has nonnegative …

This article deals with the existence of solutions of nonlinear fractional pantograph
equations. Such model can be considered suitable to be applied when the corresponding …

The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a
fractional order SIQR model. The stability analysis of the model is performed. To obtain semi …