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.

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.

Background & Aim: Down Syndrome (DS) is a genetic disorder characterized by distinct clinical features, predominantly caused trisomy chromosome 21. This study aimed to conduct retrospective analysis of profiles, and karyotype findings in patients. Materials Methods: We performed cases referred the Genetic Clinic Department Pediatrics at Maulana Azad Medical College (MAMC) Lok Nayak Hospital over ten-year period (2014-2024). Existing case proformas patients with phenotype, who underwent...

For selected end stage organ diseases, transplantation can be beneficial. Organ donation is a crucial procedure but the donors are not readily available. Different organs and tissues like kidney, liver, heart, blood, bone marrow, pancreas, intestines, etc. donated which prolong survival of patients in need also improve their quality life. The aim study was to assess knowledge attitude among general population. A cross sectional analytical conducted with non – probability convenient sampling...

The equation for , is investigated in the upper half plane. A Cauchy integral representation formula obtained explicitly. Different forms of boundary conditions originating from well-known Schwarz, Dirichlet and Neumann problems complex analysis are studied. These value solved

Explicit representations for the solution of higher order equations are obtained Dirichlet boundary conditions and Schwarz in upper half plane. We also investigate a mixed value problem inhomogeneous polyanalytic equation.

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...

Background: Spontaneous intracranial haemorrhage (ICH) is the most severe type of stroke with high mortality rates. This entity accounts for 17 to 33% all strokes and associated a higher rate. Approximately, 35–50% patients ICH die within 30 days after event. Long-term survivors are often remaining permanent deficits, up 75% suffering disability only 12% 39% have favourable outcomes. Several studies aiming explore efficacy surgery been carried out. However, results were inconclusive. To...

We give explicit representation of Neumann boundary value problem for Bitsadze equation on the upper half plane. will also solution inhomogeneous polyanalytic arising from and (n-1) Dirichlet conditions plane H.