A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

J Singh, D Kumar, Z Hammouch, A Atangana - Applied mathematics and …, 2018 - Elsevier
In the computer security and for any defensive strategy, computer viruses are very significant
aspect. To understand their expansion and extension is very important component. In order …

[HTML][HTML] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

RP Agarwal, D Baleanu, JJ Nieto, DFM Torres… - … of Computational and …, 2018 - Elsevier
We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …

[HTML][HTML] Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential

A Harrat, JJ Nieto, A Debbouche - Journal of Computational and Applied …, 2018 - Elsevier
We study the solvability and optimal controls of an impulsive nonlinear Hilfer fractional delay
evolution inclusion in Banach spaces. For the main results, we use fractional calculus, fixed …

Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q∈(1, 2)

R Dhayal, M Malik, S Abbas - Stochastics, 2021 - Taylor & Francis
In this article, we study the stochastic fractional optimal control problem for a system
governed by a class of non-instantaneous impulsive stochastic fractional differential …

[HTML][HTML] Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

V Vijayaraj, C Ravichandran, P Sawangtong… - Alexandria Engineering …, 2023 - Elsevier
In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu
fractional integro-differential inclusions in Banach space. The results are gained by using …

[HTML][HTML] Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients

A Benchaabane, R Sakthivel - Journal of Computational and Applied …, 2017 - Elsevier
This paper investigates the existence and uniqueness of mild solutions for a class of
nonlinear fractional Sobolev-type stochastic differential equations in Hilbert spaces. In this …

Learning formation control for fractional‐order multiagent systems

D Luo, JR Wang, D Shen - Mathematical Methods in the …, 2018 - Wiley Online Library
In this paper, we use 2 iterative learning control schemes (P‐type and PI‐type) with an initial
learning rule to achieve the formation control of linear fractional‐order multiagent systems …

[图书][B] Bloch-type periodic functions: theory and applications to evolution equations

YK Chang, GM N'Guérékata, R Ponce - 2022 - World Scientific
It is well known that solutions to some equations from propagation of heat or waves in solid
state physics, such as wave functions satisfying the Schödinger equation with the potential …

Controllability problem of fractional neutral systems: a survey

A Babiarz, M Niezabitowski - Mathematical Problems in …, 2017 - Wiley Online Library
The following article presents recent results of controllability problem of dynamical systems
in infinite‐dimensional space. Generally speaking, we describe selected controllability …

Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay

Z Yan, F Lu - Applied Mathematics and Computation, 2017 - Elsevier
In this paper, the approximate controllability of a new class of multi-valued fractional
impulsive stochastic partial integro-differential equations with infinite delay in Hilbert spaces …