Caputo fractional derivative

Stability analysis of a fractional model for the transmission of the cochineal

Scale insects are parasitic insects that attack many indoor and outdoor plants, including cacti and succulents.  These insects are among the frequent causes of diseases in cacti: for the reason that they are tough, multiply in record time and could be destructive to these plants, although they are considered resistant.  Mealybugs feed on the sap of plants, drying them out and discoloring them.  In this research, we propose and investigate a fractional model for the transmission of the Cochineal.  In the first place, we prove the positivity and boundedness of solutions i

Caputo fractional reduced differential transform method for SEIR epidemic model with fractional order

This paper proposes the Caputo Fractional Reduced Differential Transform Method (CFRDTM) for Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model with fractional order in a host community.  CFRDTM is the combination of the Caputo Fractional Derivative (CFD) and the well-known Reduced Differential Transform Method (RDTM).  CFRDTM demonstrates feasible progress and efficiency of operation.  The properties of the model were analyzed and investigated.  The fractional SEIR epidemic model has been solved via CFRDTM successfully.  Hence, CFRDTM provides the solutions of the model in the fo