Fractional Bernoulli Equation with Ujlayan-Dixit operator

This study explores the solution of the fractional Bernoulli equation using the Ughlaian and Dixit (UD) approach, which is also applicable to its classical counterpart. The focus is on transforming the fractional Bernoulli equation—modeled in its classical form—from a nonlinear to a linear equation. A detailed mathematical procedure is provided, along with an illustrative example to demonstrate the method.