Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3310
Abstract
In this paper, we present a new Gronwall inequality with an impulsive effect. The existence and uniqueness of the solution is investigated through fixed point theorems. Moreover, with the help of newly developed inequality Ulam's type stability criterion is developed for impulsive fractional difference equation. At last, a model is given to help the hypothetical outcome.
Keywords
Gronwall inequality, fractional difference equation, impulsive effect, existence and uniqueness, fixed point theorems; Ulam-Hyers-Rassias stability
First Page
2927
Last Page
2941
Recommended Citation
ILYAS, RABIA and REHMAN, MUJEEB UR
(2022)
"Ulam's type stability analysis of fractional difference equation with impulse: Gronwall inequality approach,"
Turkish Journal of Mathematics: Vol. 46:
No.
7, Article 24.
https://doi.org/10.55730/1300-0098.3310
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss7/24
