Artificial neural network (ANN) is the backbone of machine learning, specifically deep
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …

The area of fractional calculus (FC) has been fast develo** and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …

In this paper, we present a new fractional-order mathematical model for a tumor-immune
surveillance mechanism. We analyze the interactions between various tumor cell …

We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …

This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …

In this work, a system of three masses on the vertices of equilateral triangle is investigated.
This system is known in the literature as a planar system. We first give a description to the …

In this research, we deal with two types of inverse problems for diffusion equations involving
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …

For early mechanical fault diagnosis, stochastic resonance (SR) breaks the previous
perception that “noise is useless” and uses internal noise or external noise to enhance weak …

The main goal in this article is synchronization of fractional-order uncertain chaotic systems
in the finite time. For this aim, a terminal sliding mode controller with fractional sliding …