Turkish Journal of Mathematics
DOI
10.3906/mat-1904-29
Abstract
We study two cases of nabla fractional Caputo difference equations. Our main tool used is a Banach fixed pointtheorem, which allows us to give some existence and uniqueness theorems of solutions for discrete fractional Caputo equations. In addition, we develop the existence results for delta fractional Caputo difference equations, which correct ones obtained in Chen and Zhou. We present two examples to illustrate our main results.
Keywords
Nabla difference equation, existence and uniqueness, Caputo operator
First Page
857
Last Page
869
Recommended Citation
CHEN, CHURONG; BOHNER, MARTIN; and JIA, BAOGUO
(2020)
"Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations,"
Turkish Journal of Mathematics: Vol. 44:
No.
3, Article 16.
https://doi.org/10.3906/mat-1904-29
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss3/16
