General Nonlocal Probability of Arbitrary Order-Reference-Cited by-同舟云学术

General Nonlocal Probability of Arbitrary Order

Published:2023-06-10 Issue:6 Volume:25 Page:919
ISSN:1099-4300
Container-title:Entropy
language:en
Short-container-title:Entropy

Author:

Tarasov Vasily E.¹²^ORCID

Affiliation:

1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia

2. Department of Physics, 915, Moscow Aviation Institute (National Research University), Moscow 125993, Russia

Abstract

Using the Luchko’s general fractional calculus (GFC) and its extension in the form of the multi-kernel general fractional calculus of arbitrary order (GFC of AO), a nonlocal generalization of probability is suggested. The nonlocal and general fractional (CF) extensions of probability density functions (PDFs), cumulative distribution functions (CDFs) and probability are defined and its properties are described. Examples of general nonlocal probability distributions of AO are considered. An application of the multi-kernel GFC allows us to consider a wider class of operator kernels and a wider class of nonlocality in the probability theory.

Publisher

MDPI AG

Subject

General Physics and Astronomy

Link

https://www.mdpi.com/1099-4300/25/6/919/pdf

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