Sinc-Fractional Operator on Shannon Wavelet Space

Frontiers in Physics

Cattani, Carlo¹ 

[1] Engineering School, DEIM, Tuscia University, Viterbo, Italy

关键词: fractional calculus;    Shannon wavelet;    Sinc function;    Operational matrix;    Connection coefficients wavelets;   

DOI  :  10.3389/fphy.2018.00118

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

In this paper the sinc-fractional derivative is extended to the Hilbert space based on Shannon wavelets. Some new fractional operators based on wavelets are defined. One of the main task is to investigate the localization and compression properties of wavelets when dealing with the non-integer order of a differential operator.

【 授权许可】

CC BY