Existence and Uniqueness of Solutions for the Initial Value Problem of Fractional $q_k$-Difference Equations for Impulsive with Varying Orders
Year: 2022
Author: Lulu Zhang, Fanjun Li, Zhenlai Han
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 701–721
Abstract
The paper studies the existence and uniqueness for impulsive fractional $q_k$-difference equations of initial value problems involving Riemann-Liouville fractional $q_k$-integral and $q_k$-derivative by defining a new $q$-shifting operator. In this paper, we obtain existence and uniqueness results for impulsive fractional $q_k$-difference equations of initial value problems by using the Schaefer’s fixed point theorem and Banach contraction mapping principle. In addition, the main result is illustrated with the aid of several examples.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.701
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 701–721
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Impulsive fractional $q_k$-difference equation Boundary value problem Existence Uniqueness.