On variable-order hybrid FracInt Covid-19 mathematical model: optimal control approach

An optimal control problem for the variable-order fractional-integer mathematical model of vaccination Covid 19 is presented in this research, where order derivatives varies during course time interval, becoming fractional or classical when it more favourable. The are defined here using both integral Riemann–Liouville and Caputo derivative. existence, uniqueness, boundedness positivity solutions given. In to test rate detection symptomatic infected people, two variables introduced. optimality conditions derived. operator approximated Grünwald–Letnikov. Examples comparative studies demonstrate simplicity approximation approaches applicability utilized methods.