Fractional derivative of power type functions

被引：0
|
作者：
Bengochea Gabriel
Ortigueira Manuel
机构：
[1] Universidad Autónoma de la Ciudad de México,Academia de Matemáticas
[2] NOVA University of Lisbon,CTS
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Power type signal; Almost periodic; Unified fractional derivative; Autocorrelation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Non-square integrable, power type, signals are introduced and studied with generality. The problems associated with the definition of their suitable fractional derivatives are discussed and solved. Two particular, very important, cases are treated with detail: the almost periodic signals and the stationary stochastic processes. For them, correlations and corresponding generalized harmonic analysis are introduced and studied.
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