On Hilfer fractional difference operator

On Hilfer fractional difference operator

Abstract In this article, a new definition of fractional Hilfer difference operator is introduced. Definition based properties are developed and utilized to construct fixed point operator for fractional order Hilfer difference equations with initial condition. We acquire some conditions for existenc...

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Bibliographic Details
Main Authors: Syed Sabyel Haider, Mujeeb ur Rehman, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Advances in Difference Equations
Subjects:
Hilfer fractional difference
Discrete Mittag-Leffler functions
Delta Laplace transform
Gronwall’s inequality
Existence and uniqueness
Ulam stability of initial value problem
Online Access:http://link.springer.com/article/10.1186/s13662-020-02576-2

Internet

http://link.springer.com/article/10.1186/s13662-020-02576-2

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