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arXiv · 1711.11089

The fuzzy Henstock-Kurzweil delta integral on time scales

Dafang Zhao·Guoju Ye·Wei Liu·Delfim F. M. Torres
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Abstract

We investigate properties of the fuzzy Henstock-Kurzweil delta integral (shortly, FHK $Δ$-integral) on time scales, and obtain two necessary and sufficient conditions for FHK $Δ$-integrability. The concept of uniformly FHK $Δ$-integrability is introduced. Under this concept, we obtain a uniformly integrability convergence theorem. Finally, we prove monotone and dominated convergence theorems for the FHK $Δ$-integral.

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Dafang Zhao, Guoju Ye, Wei Liu, Delfim F. M. Torres. 2017-11-29. The fuzzy Henstock-Kurzweil delta integral on time scales. https://doi.org/10.1007/978-3-319-75647-9_41

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