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1. A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

Author

Yiheng Wei, Yanting Zhao, Weidi Yin, and Yong Wang

Subjects
010101 applied mathematics, Control and Systems Engineering, Applied Mathematics, Mechanical Engineering, Calculus, 010103 numerical & computational mathematics, General Medicine, 0101 mathematics, 01 natural sciences, Mathematics, Fractional calculus
Abstract

The primary work of this paper is to investigate some potential properties of Grünwald–Letnikov discrete fractional calculus. By employing a concise and convenient description, this paper not only establishes excellent relationships between fractional difference/sum and the integer order case but also generalizes the Z-transform and convolution operation.

Published
2019
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