Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus

A Jan, S Boulaaras, FA Abdullah, R Jan - The European Physical Journal …, 2023 - Springer
Farmers are trying to adopt new cultivation methods and technologies to produce more and
good yield. Low productivity is due to a variety of factors; one of the main reasons is the …

Analytic Solution for the Strongly Nonlinear Multi‐Order Fractional Version of a BVP Occurring in Chemical Reactor Theory

VS Erturk, AK Alomari, P Kumar… - Discrete Dynamics in …, 2022 - Wiley Online Library
This study is devoted to constructing an approximate analytic solution of the fractional form
of a strongly nonlinear boundary value problem with multi‐fractional derivatives that comes …

A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population

P Kumar, V Govindaraj, VS Erturk - Chaos, Solitons & Fractals, 2022 - Elsevier
In the history of mathematical modeling, a number of deadly diseases in humans, animals,
birds, and plants have been studied by using various types of mathematical models. In this …

An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses

S Vivek, V Vijayakumar - Optimization, 2023 - Taylor & Francis
In this paper, we study approximate controllability of neutral hemivariational inequality with
impulses. Initially, we derive the mild solution for the given system, for the main results, we …

Fractional-order dynamics of Chagas-HIV epidemic model with different fractional operators

R Zarin, A Khan, P Kumar - AIMS Mathematics, 2022 - aimspress.com
In this research, we reformulate and analyze a co-infection model consisting of Chagas and
HIV epidemics. The basic reproduction number $ R_0 $ of the proposed model is …

Modeling and Analysis of the Fuzzy‐Fractional Chaotic Financial System Using the Extended He–Mohand Algorithm in a Fuzzy‐Caputo Sense

M Qayyum, E Ahmad, A Tahir… - International Journal of …, 2023 - Wiley Online Library
This paper contains modeling of a fuzzy‐fractional financial chaotic model based on
triangular fuzzy numbers (TFNs) to predict the idea that long‐term dependency and …

Intelligent Neural Integral Sliding-mode Controller for a space robotic manipulator mounted on a free-floating satellite

JE Lavín-Delgado, S Chávez-Vázquez… - Advances in Space …, 2023 - Elsevier
In this paper, a fractional neural integral sliding-mode controller based on the Caputo-
Fabrizio derivative and Riemann–Liouville integral for a robot manipulator mounted on a …

Existence and stability results for nonlocal boundary value problems of fractional order

VS Ertürk, A Ali, K Shah, P Kumar… - Boundary Value …, 2022 - Springer
In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary
value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function …

Role of vaccination, the release of competitor snails, chlorination of water, and treatment controls on the transmission of bovine schistosomiasis disease: a …

M Vellappandi, P Kumar, V Govindaraj - Physica Scripta, 2022 - iopscience.iop.org
In this study, we derive an optimal control problem for schistosomiasis disease by using
Caputo fractional derivative. In the formulation of the proposed control problem, we use the …

A case study of 2019‐nCoV in Russia using integer and fractional order derivatives

M Vellappandi, P Kumar… - Mathematical Methods in …, 2023 - Wiley Online Library
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 …