Rabia Ilyas Butt, Mujeeb Ur Rehman, Thabet Abdeljawad, and Gulsen Kilinc.

Stability Analysis of p-Laplacian Fractional Difference Equation. Dynamic Systems and Applications 30 (2021) No.1, 17-31

https://doi.org/10.46719/dsa20213012

ABSTRACT.
This paper manages two main points, existence of solution along with the stability analysis of p-Laplacian fractional difference equations in Nabla sense. As a matter of first importance, the existence of a solution is considered utilizing Schaefer’s fixed point hypothesis. Besides, Ulam-Hyers stability is examined. Finally, a model is given to clarify the hypothetical outcomes.

AMS (MOS) Subject Classification.  39A30.

Key Words. Nabla Caputo fractional difference, p-Laplacian operator, Schaefer’s fixed point theorem, existence, Ulam–Hyers stability.