Year: 2023
Author: Mi Zhou
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 565–579
Abstract
In this paper, we investigate a class of the fractional $(p, q)$-difference initial value problem with the fractional $(p, q)$-integral boundary conditions with the aid of the method of successive approximations(Picard method) and fractional $(p, q)$-Gronwall inequality, obtaining sufficient conditions for the existence, uniqueness and continuous dependence results of solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.565
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 565–579
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Well-posedness fractional $(p q)$-difference equation initial value problem q)$-Gronwall inequality.