A Theoretical and Numerical Study on Fractional Order Biological Models with Caputo Fabrizio Derivative

This article studies a biological population model in the context of fractional Caputo-Fabrizio operator using double Laplace transform combined with Adomian method. The conditions for existence and uniqueness solution problem under consideration is established use Banach principle some theorems from fixed point theory. Furthermore, convergence analysis presented. For accuracy validation technique, applications are numerical simulations present obtained approximate solutions variety orders. From simulations, it observed that when order large, then density also large; on other hand, decreases decrease order. results reveal considered technique suitable highly accurate terms cost computing, can be used to analyze wide range complex non-linear differential equations.