Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

Published on Aug 1, 2020in Journal of Function Spaces and Applications1.896
· DOI :10.1155/2020/5852414
Feng Gao1
Estimated H-index: 1
(Qingdao University),
Chunmei Chi1
Estimated H-index: 1
(Qingdao University)
Source
Abstract
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in terms of physical meaning. We also gave the definition of the corresponding fractional integral and illustrated the applications of the improved conformable derivative to fractional differential equations by some examples.
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