EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS

RAZIYE MERT; ALLAN PETERSON; THABET ABDELJAWAD; LYNN ERBE

Title	EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS
Publication Type	Journal Article
Year of Publication	2019
Authors	MERT RAZIYE, PETERSON ALLAN, ABDELJAWAD THABET, ERBE LYNN
Journal	Dynamic Systems and Applications
Volume	28
Issue	1
Start Page	183
Pagination	12
Date Published	02/2019
ISSN	1056-2176
AMS Subject Classification	asymptotic property, contraction mapping theorem, existence and uniqueness, nabla fractional difference equation
Abstract	In this paper, we reformulate certain nabla fractional difference equations which had been investigated by other researchers. The previous results seem to be incomplete. By using Contraction Mapping Theorem, we establish conditions under which solutions exist and are unique and have certain asymptotic properties.
PDF	https://acadsol.eu/dsa/articles/28/1/11.pdf
DOI	10.12732/dsa.v28i1.11
Refereed Designation	Refereed
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