On substantial fractional difference operator

On substantial fractional difference operator

Abstract In this article, new definitions of fractional substantial sum and difference operators are introduced. Some properties are established and used to generate a fixed point operator for an arbitrary real order substantial system with conditions involving fractional order difference. We inspec...

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Bibliographic Details
Main Authors: Syed Sabyel Haider, Mujeeb ur Rehman
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Substantial operators
Fractional sum and difference
Delta Laplace transform
Exponential shift
Existence and uniqueness
Ulam–Hyers stability
Online Access:http://link.springer.com/article/10.1186/s13662-020-02594-0

Internet

http://link.springer.com/article/10.1186/s13662-020-02594-0

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