Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

This paper mainly deals with introducing and studying the properties of generalized nabla differentiability for fuzzy functions on time scales via Hukuhara difference. Further, we obtain embedding results on <inline-formula> <math display="inline"> <semantics> <msub>...

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Bibliographic Details
Main Authors: R. Leelavathi, G. Suresh Kumar, Ravi P. Agarwal, Chao Wang, M. S. N. Murty
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Axioms
Subjects:
fuzzy functions time scales
Hukuhara difference
generalized nabla Hukuhara derivative
fuzzy nabla integral
Online Access:https://www.mdpi.com/2075-1680/9/2/65
Description
Summary:This paper mainly deals with introducing and studying the properties of generalized nabla differentiability for fuzzy functions on time scales via Hukuhara difference. Further, we obtain embedding results on <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="double-struck">E</mi> <mi>n</mi> </msub> </semantics> </math> </inline-formula> for generalized nabla differentiable fuzzy functions. Finally, we prove a fundamental theorem of a nabla integral calculus for fuzzy functions on time scales under generalized nabla differentiability. The obtained results are illustrated with suitable examples.
ISSN:2075-1680

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