C Xu, Z Liu, Y Pang, S Saifullah, M Inc – Chaos, Solitons & Fractals, 2022
There are many fatal diseases which are caused by virus. Different types of viruses cause different infections. One of them is HIV-1 infection which caused by retrovirus. HIV-1 infection is a hazardous disease that can lead to cancer, AIDS, and other …
KS NISAR, V VIJAYARAJ, N VALLIAMMAL… – Fractals, 2022
This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of …
N Ozdemir, E Ucar, D Avcı – Facta Universitatis, Series: Mathematics and …, 2022
Infectious diseases spread by microorganisms, viruses and bacteria, which can be transmitted from individual to individual very quickly and adversely affect public health, need to be treated immediately. In order to eliminate the structures that are …
HD Desta, DB Pachpatte, JB Mijena, T Abdi – Axioms, 2022
In this paper, we obtain some univariate and multivariate Ostrowski-type inequalities using the Atangana–Baleanu fractional derivative in the sense of Liouville–Caputo (ABC). The results obtained for both left and right ABC fractional derivatives can be …
H Arfaoui, AB Makhlouf – Chaos, Solitons & Fractals, 2022
This paper investigates the stability of fractional advection–diffusion system with conformable derivative in infinite time interval. We have established new exponential stability results for a such system in different Hilbert spaces. Then, thanks to …
CBS Varun Bose, R Udhayakumar – Fractal and Fractional, 2022
This manuscript focuses on the existence of a mild solution Hilfer fractional neutral integro-differential inclusion with almost sectorial operator. By applying the facts related to fractional calculus, semigroup, and Martelli’s fixed point theorem, we prove …
K Agrawal, R Kumar, S Kumar, S Hadid, S Momani – Chaos, Solitons & Fractals, 2022
In this paper, we propose a model that explains the glucose–insulin regulatory system (GIRS). The literature has demonstrated that fractional-order analysis can uncover new aspects of complex systems that were not previously explored. As a …
MS Hadi, B Bilgehan – Fractal and Fractional, 2022
A fractional-order coronavirus disease of 2019 (COVID-19) model is constructed of five compartments in the Caputo-Fabrizio sense. The main aim of the paper is to study the effects of successive optimal control policies in different susceptible …
S Theswan, SK Ntouyas, B Ahmad, J Tariboon – Symmetry, 2022
We introduce and study a new class of nonlinear coupled Hilfer differential equations with nonlocal boundary conditions involving Riemann–Liouville and Hadamard-type iterated fractional integral operators. By applying the Leray–Schauder alternative …
M Vellappandi, P Kumar, V Govindaraj – Mathematical Methods in the Applied Sciences
In this article, we define a mathematical model to analyze the outbreaks of the most deadly disease of the decade named 2019‐nCoV by using integer and fractional order derivatives. For the case study, the real data of Russia is taken to perform novel …
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