Trends, directions for further research, and some open problems of fractional calculus
The area of fractional calculus (FC) has been fast developing and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …
in all scientific fields. Therefore, it is of key relevance to assess the present state of …
A survey of fractional calculus applications in artificial neural networks
M Joshi, S Bhosale, VA Vyawahare - Artificial Intelligence Review, 2023 - Springer
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 …
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
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 …
surveillance mechanism. We analyze the interactions between various tumor cell …
Planar system-masses in an equilateral triangle: numerical study within fractional calculus
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 …
This system is known in the literature as a planar system. We first give a description to the …
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …
fractional derivative. Some characteristics were derived to display the new generalized …
The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
S Djennadi, N Shawagfeh, OA Arqub - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique
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 …
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …
Advances in Intelligent Systems and Computing
LY Cheng - 2021 - Springer
This volume contains the proceedings of the 7th Euro-China Conference on Intelligent Data
Analysis and Applications (ECC 2021), which is hosted by Communication University of …
Analysis and Applications (ECC 2021), which is hosted by Communication University of …
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19
H Jahanshahi, JM Munoz-Pacheco, S Bekiros… - Chaos, Solitons & …, 2021 - Elsevier
COVID-19 is a novel coronavirus affecting all the world since December last year. Up to
date, the spread of the outbreak continues to complicate our lives, and therefore, several …
date, the spread of the outbreak continues to complicate our lives, and therefore, several …