Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation

Authors : Mustafa Ali DOKUYUCU

Pages : 1-7

View : 13 | Download : 8

Publication Date : 2020-03-30

Article Type : Research Paper

Abstract :In this study, the garden equation which is a nonlinear partial differential equation is discussed. First, we will expand the garden equation to the Caputo derivative and Atangana-Baleanu fractional derivative in the sense of Caputo. Then, we will then demonstrate the existence of the new equation with the help of the fixed point theorem. Finally, we will examine uniqueness solution for the two fractional operators.
Keywords : Caputo fractional derivative, Atanagana Baleanu Caputo fractional derivative, Fixed Point theorem, Garden equation, Existence and Uniqueness