Year: 2021
Author: Zhongyun Qin, Shurong Sun
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 647–661
Abstract
In this paper, we initiate the solvability and stability for a class of singular fractional $(p, q)$-difference equations. First, we obtain an existence theorem of solution for the fractional $(p, q)$-difference equation. Then, by using a fractional $(p, q)$-Gronwall inequality, some stability criteria of solution are established, which also implies the uniqueness of solution.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.647
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 647–661
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Fractional $(p q)$-difference equation Existence of solution Stability $(p q)$-Gronwall inequality Uniqueness.