On conformable fractional nabla-hukuhara derivative on time scales

Deng, Junhua; Xu, Chao; Sun, Li-Peng; Cao, Ning; You, Xiao‐Zeng

doi:10.1109/ifuzzy.2017.8311815

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2020

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“…Wang et al [25] introduced and studied almost periodic fuzzy vector-valued functions on time scales. Deng et al [26] studied fractional nabla-Hukuhara derivative on time scales. Recently, Leelavathi et al [27] introduced and studied properties of nabla Hukuhara derivative for fuzzy functions on time scales.…”

Section: Introductionmentioning

confidence: 99%

Generalized Nabla Differentiability and Integrability for Fuzzy Functions on Time Scales

Leelavathi

Kumar

Agarwal

et al. 2020

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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.

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Section: Introductionmentioning

confidence: 99%