Noninstantaneous Impulsive Fractional Quantum Hahn Integro-Difference Boundary Value Problems

In this paper, we study the existence and uniqueness results for noninstantaneous impulsive fractional quantum Hahn integro-difference boundary value problems with integral boundary conditions, by using Banach contraction mapping principle and Leray–Schauder nonlinear alternative. Examples are inclu...

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Bibliographic Details
Main Authors: Surang Sitho, Chayapat Sudprasert, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/671
Description
Summary:In this paper, we study the existence and uniqueness results for noninstantaneous impulsive fractional quantum Hahn integro-difference boundary value problems with integral boundary conditions, by using Banach contraction mapping principle and Leray–Schauder nonlinear alternative. Examples are included illustrating the obtained results. To the best of our knowledge, no work has reported on the existence of solutions to the Hahn-difference equation with noninstantaneous impulses.
ISSN:2227-7390