Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

“…Ali et al reported the optimal control of zika virus disease with the fractional derivatives ( Ali et al, 2022a , Ali et al, 2022b ). Similarly the utilization of the idea of optimal control for the control of COVID-19 can be seen in ( Aba Oud et al, 2021 ; S. W. Ahmad et al, 2021 ; Grigorieva et al, 2020 ; Zamir et al, 2020 ).…”

“…The applications and uses of fractional derivatives can be seen in different physical, engineering and health sciences such as sustainable energy, fluid mechanics, infectious disease modeling, biochemistry, electrical circuits and so on (Z. Ahmad et al, 2020b , Ahmad et al, 2021 ; AHMAD et al, 2021 ; Ali et al, 2020 ; Murtaza et al, 2022 ; Sinan et al, 2022 ). Besides this, previous work reported on the fractional dynamics of COVID-19 which is proved to be best fit with the real data.…”

Finite Difference Simulation of Fractal-Fractional Model of Electro-Osmotic Flow of Casson Fluid in a Micro Channel

“…Here , FF a    is the fractal-fractional operator of the exponential kernel [21], [24] is given as;…”

“…Ali et al [23] discussed the qualitative examinations of the Covid-19 mathematical model with the case study of Wuhan. Many other relative research works on the uses of the fractal-fractional operator can be found in [24]- [27].…”

Sensitivity analysis of COVID-19 with quarantine and vaccination: A fractal-fractional model

“…The fractal-fractional (FF) operator, which combines fractal and fractional differentiation, is a novel idea whose characteristics and features are being researched right now. Fractal-fractional differentiation may be found in chaotic attractors, chemical processes, complex dynamical systems, and electrical circuits [33] , [34] , [35] , [36] , [37] .…”