Existence results in Banach space for a nonlinear impulsive system

Abstract We deal with three important aspects of a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator: the existence of a solution, the uniqueness and the Hyers–Ulam stability. Our problem involves Caputo’s fractional derivative. For these go...

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Bibliographic Details
Main Authors: Hasib Khan, Aziz Khan, Thabet Abdeljawad, Abdulwasea Alkhazzan
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-1965-z