The increasing complexity of advanced devices and systems increases the scale mathematical models used in computer simulations. Multiparametric analysis study on long-term time intervals large-scale are computationally expensive. Therefore, efficient numerical methods required to reduce costs. Recently, semi-explicit semi-implicit Adams–Bashforth–Moulton have been proposed, showing great comput...

In this manuscript, a qualitative analysis of the mathematical model novel coronavirus (COVID-19) involving anew devised fractal-fractional operator in Caputo sense having fractional-order q and fractal dimension p is considered. The concerned composed eight compartments: susceptible, exposed, infected, super-spreaders, asymptomatic, hospitalized, recovery fatality. When, choosing order one we ...

In this manuscript, we formulate a mathematical model of the deadly COVID-19 pandemic to understand dynamic behavior COVID-19. For study, new SEIAPHR fractional was purposed in which infectious individuals were divided into three sub-compartments. The purpose is construct more reliable and realistic for complete computational analysis design different control strategies proposed Caputo–Fabrizio...

Rheology of MHD bioconvective nanofluid containing motile microorganisms is inspected numerically in order to analyze heat and mass transfer characteristics. Bioconvection implemented by combined effects magnetic field buoyancy force. Gyrotactic enhance the as well perk up nanomaterials’ stability. Variable transport properties along with assisting opposing flow situations are taken into accoun...

The Delta and Omicron variants’ system was used in this research study to replicate the complex process of SARS-CoV-2 outbreak. generalised fractional designed rigorously analysed order gain a comprehensive understanding transmission dynamics both variants. proposed dynamical has heredity memory effects, which greatly improved our ability perceive disease propagation dynamics. non-singular Atan...

This research study aims to investigate the effects of vaccination on reducing disease burden by analyzing a complex nonlinear ordinary differential equation system. The focuses five distinct sub-classes within system comprehensively explore impact vaccination. Specifically, mathematical model employed in this investigation is fractional representation tuberculosis, utilizing Atangana–Baleanu d...

This study aims to solve the nonlinear fractional-order mathematical model (FOMM) by using normal and dysregulated bone remodeling of myeloma disease (MBD). For more precise performance model, derivatives have been used numerically. The FOMM is preliminarily designed focus on critical interactions between resorption or osteoclasts (OC) formation osteoblasts (OB). connections OC OB are represent...

The theme of this study is to present the impacts and importance fractional order derivatives susceptible, infected quarantine (SIQ) model based on coronavirus with lockdown effects. purpose these investigations achieve more accuracy use in SIQ model. integer, nonlinear mathematical system effects also provided study. are categorized into dynamics infective quarantine, generally known as system...