SOLVING A CLASS OF FRACTIONAL PROBLEMS BY USING NE TRANSFORM

Abstract

In this study, we solve a class of fractional problems using the Natural Ervenila (NE) integral transform. For nonlinear cases, approximate solutions are obtained by combining the NE integral transform with other iterative methods. The fractional operator is considered in the Caputo and constant proportional Caputo (CPC) senses. We demonstrate the efficiency of the proposed integral transform on several interesting models. Fractional electrical circuits, fractional honeybee, and fractional population dynamics models are solved as test examples.