On Conformable Delta Fractional Derivative on Time Scales

YOU Xue-xiao, ZHAO Da-fang, CHENG Jian

doi:10.13371/j.cnki.chin.q.j.m.2017.02.011

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 2: 208 - 215

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.011

On Conformable Delta Fractional Derivative on Time Scales

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School of Mathematics and Statistics, Hubei Normal University

YOU Xue-xiao(1980-), female, native of Xiangyang, Hubei, a lecturer of Hubei Normal University, M.S.D., engages in Henstock integral theory; ZHAO Da-fang(1982-), male, native of Linyi, Shandong,an associate professor of Hubei Normal University, M.S.D., engages in Henstock integral theory.

Received date: 2015-08-02

Online published: 2020-10-23

Supported by

Supported by the Educational Commission of Hubei Province(B2016160)；

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Abstract

In this paper, we introduce and investigate the concept of conformable delta fractional derivative on time scales. By using the theory of time scales, we obtain some basic properties of the conformable delta fractional derivative. Our results extend and improve both the results in [9] and the usual delta derivative.

Key words： conformable delta fractional derivative; delta derivative; time scales

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YOU Xue-xiao, ZHAO Da-fang, CHENG Jian . On Conformable Delta Fractional Derivative on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(2) : 208 -215 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.02.011

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