Publication: EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS
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Date
2019
Authors
Mert, Raziye; Peterson, Allan; Abdeljawad, Thabet; Erbe, Lynn
Journal Title
Journal ISSN
Volume Title
Publisher
DYNAMIC PUBLISHERS, INC
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.
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Keywords
nabla fractional difference equation; contraction mapping theorem; existence and uniqueness; asymptotic property