Numerical study of fractional order COVID-19 pandemic transmission model in context of ABO blood group

Numerical, Approximate Solutions, and Optimal Control on the Deathly Lassa Hemorrhagic Fever Disease in Pregnant Women

“…For more details about FOC, see [37,39,40,44]. The existence of the control system (83)-( 86) is to be proved here, the same can be found in [37][38][39][40][41][42][43] as follows:…”

“…Fractional derivative order α = 0.7; 0.8; 0.9; 1 1000 To construct the FOCP, consider the selected objective function defined in [41][42][43][44]:…”

Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

“…Thus, in the current section, a Caputo fractional derivative-based mathematical model is devolved, predicting the outbreak of covid-19 for the Italian populations. In this regard, Caputo fractional derivative [51] , [52] , [53] , [54] , [55] , [56] has been applied in the conventional proposed mathematical model ( equation 1.1 - 1.14 ). Then the system of the nonlinear fractional-order differential equation is as follows: …”

Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay

“…Fractional differential equations have recently proved to be valuable tools in the modeling of many phenomena in different domain applications, whether in biology [ 12 – 14 ], diffusion [ 8 ], control theory [ 15 – 21 ] or viscoelasticity [ 22 ]. In fact, regrading biological application, authors in [ 12 ] have modeled a fractional order system for COVID-19 pandemic transmission.…”

“…Fractional differential equations have recently proved to be valuable tools in the modeling of many phenomena in different domain applications, whether in biology [ 12 – 14 ], diffusion [ 8 ], control theory [ 15 – 21 ] or viscoelasticity [ 22 ]. In fact, regrading biological application, authors in [ 12 ] have modeled a fractional order system for COVID-19 pandemic transmission. In regards control theory, authors in [ 17 ] have presented a novel controller of fractional sliding mode type based on nonlinear fractional-order Proportional Integrator (PI) derivative controller.…”