Modified Mathematical Models in Biology by the Means of Caputo Derivative of a Function with Respect to Another Exponential Function

In this article, the researcher considered some well-known mathematical models of ordinary differential equations applied in biology such as bacterial growth, natural FC solution for vegetables, biological phospholipids pathway, glucose absorption by body and spread epidemics. The each model are fractionalized means Caputo derivative a function with respect to certain exponential function. model, we embed concept fractionalization associated chosen order modify given model. Consequently, various propositions evoked hypothetically allowing modifications several biology. results further visualized providing graphs Mittag-Leffler on parameters. graphs' analysis explored behavior every modified study, solutions all Mittag–Leffler form while original solved Slight changes due assumptions change