Mathematical study on biological models through fractional derivatives

Abstract

Fractional calculus has advanced substantially in recent years. This process is newlinestill continuing, but we can already see how new concepts and methodologies newlinearise inside the domain of fractional calculus, allowing for additional challenging newlineinsights and surprising connections between various disciplines of science and newlineengineering. In contrast to ordinary derivatives, fractional derivatives (FDs) are newlinenon-local and include memory effects. FDs are highly useful for investigating newlinecomplicated dynamical models with memory and hereditary features. Fractional newlineorder derivatives calculate the entire history of the given problem starting from newlineinitial time. In recent years, FDs have been used to describe the majority of newlinereal-world physical processes. newlineThe primary objective of this thesis is to explore the dynamical behavior of newlinefractional epidemic models. The existence and uniqueness of the solutions to the newlinementioned fractional epidemic models are established via fixed-point theory. The newlinesimulated results are presented using the different numerical approaches. The newlinefollowing is the thesis s structure. newline