Method for Solving Fractional Bernoullis Differential Equation

Chii-Huei Yu

Abstract: In this paper, we use a new multiplication of fractional functions, the chain rule for fractional derivatives, and the result of first order linear fractional differential equation, regarding the Jumarie type of modified Riemann-Liouville (R-L) fractional derivative, to obtain the general solution of fractional Bernoulli’s differential equation. In addition, an example is proposed to illustrate our result.

Keywords: New multiplication, Chain rule, Modified R-L fractional derivative, Fractional Bernoulli’s differential equation