Abstract This research paper investigates the SIZR model related to Zombie infection outbreaks according a time-dependent rate. The proposed is extended fractional order using different derivative operators. solution of by numerical schemes, briefed. Graphical representations provide us with better understanding this mathematical model. Lastly, as observed in movies, we conclude that infections can generate destruction and collapse human development it paramount importance deal Zombies early...

A five-dimensional hyperchaotic system is a dynamical with five state variables that exhibits chaotic behavior in multiple directions. In this work, we incorporated 5D constant- and variable-order Caputo the Caputo–Fabrizio fractional derivatives. These systems are solved numerically. Through simulations, of these fractional-order analyzed comparison between presented.

The paper aims to extend the model of Ebola virus in bats mathematical fractional order using Atangana- Baleanu derivative operator. A detailed proof for existence, uniqueness, and stability solution is presented. numerical approach used find stated results are represented graphically.

The world is grappled with an unprecedented challenges due to Corona virus. We are all battling this epidemic together, but we have not been able defeat yet. A new variant of virus, named ‘Omicron’ spreading these days. fractional differential equations providing us better tools study the mathematical model memory effects. In paper, will consider extended SER quarantined and vaccinated compartment speculate Omicron variant. This Susceptible Exposed Infected Recovered involves that associate...

In this manuscript, the time-fractional diffusion equation in framework of Yang–Abdel–Cattani derivative operator is taken into account. A detailed proof for existence, as well uniqueness solution equation, sense YAC operator, explained, and, using method α-HATM, we find analytical equation. Three cases are considered to exhibit convergence and fidelity aforementioned α-HATM. The solutions obtained compared with Riemann–Liouville (RL) fractional order γ=0.99 (nearby 1) exact at different...

This research develops a model describing relation between predator and prey where the species are divided into two classes i.e., susceptible infected species. Furthermore, also provided with refuge. After this, expands formulated Caputo fractional derivative. A detailed analysis of solution for predator–prey sickness in refuge to is done. Numerical solutions along simulations briefed model. Lastly, phase portrait diagrams given better understanding.

In this paper, we extend the Burger's equation to time-fractional based on different derivative operators as Yang-Abdel-Cattani, Atangana-Baleanu, Caputo-Fabrizio, and Liouville-Caputo. The analytical solutions for these are determined by employing δ-Homotopy Analysis Transform Method. Further, study comparison of obtained from numerically graphically.

In this study we have proposed the SIAQR model with time-dependent infection rate. The model's well-posedness is demonstrated, and then extended to fractional mathematical by employing Caputo-Fabrizio derivative operator. We also used Lipschitz condition linear growth determine conditions under which has a unique solution. numerical solutions are presented. Furthermore, using graphical representations will see how number of infected, recovered individuals vary as order varies.

In this paper, we have extended the model of HIV-1 infection to fractional mathematical using Caputo-Fabrizio and Atangana-Baleanu derivative operators. A detailed proof for existence uniqueness solution in sense is presented. Numerical approach used find study behavior stated different operators, graphical comparison between solutions obtained operator presented see which more efficient.

The paper is concerned with the SIZR mathematical model for an outbreak of zombie infection time-dependent rate. This class involves equations that relate susceptible S(t), infected I(t), Z(t), and removed population R(t). well poseness presented. proposed then outstretched to fractional order three different derivative operators i.e., Caputo, Caputo-Fabrizio, Atangana-Baleanu operator. conditions under which has a unique solution are established operators. Using numerical scheme was by...

In this article we review the experimental and numerical results related to dynamo transitions. Recent experiments of Von Kármán Sodium (VKS) exhibit various states including constant, time‐periodic, chaotic magnetic fields. Similarly pseudospectral simulations show quasiperiodic, field configurations. One windows for Prandtl number unity shows period doubling route chaos. Quasiperiodic chaos has been reported 0.5. The also reveal coexisting multiple attractors that were obtained different...

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