Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (2): 208-215.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.011

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On Conformable Delta Fractional Derivative on Time Scales

  

  1. School of Mathematics and Statistics, Hubei Normal University
  • Received:2015-08-02 Online:2017-06-30 Published:2020-10-23
  • About author: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.
  • Supported by:
    Supported by the Educational Commission of Hubei Province(B2016160);

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

CLC Number: