Journal
Turkish Journal of Science
Volume & Issue
Volume 5, Issue 1
Published on
March 17, 2020
Pages
1-7
DOI
Article
Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation
Authors
Mustafa Ali Dokuyucu
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.