Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

Author:

Leelavathi R.,Suresh Kumar G.ORCID,Agarwal Ravi P.,Wang ChaoORCID,Murty M.S.N.ORCID

Abstract

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 E n 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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference32 articles.

1. Basic Calculus on Time Scales and some of its Applications

2. Dynamic Equations on Time Scales: An Introduction with Applications;Bohner,2001

3. Advances in Dynamic Equations on Time Scales;Bohner,2003

4. Integration on time scales

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