On the Construction of a New Fractional Brownian Motion

El-Borai, Mahmoud M. and El-Nadi, Khairia El-Said (2024) On the Construction of a New Fractional Brownian Motion. In: Mathematics and Computer Science: Contemporary Developments Vol. 9. BP International, pp. 52-60. ISBN 978-93-48388-73-5

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Abstract

A fractional normal distribution is constructed. With the help of this new distribution, a fractional Brownian motion is defined. A generalization of the Ito stochastic integration is given and some stochastic properties are studied. Formula Ito and the product rule are generalized.

Item Type: Book Section
Subjects: Grantha Library > Mathematical Science
Depositing User: Unnamed user with email support@granthalibrary.com
Date Deposited: 04 Jan 2025 08:15
Last Modified: 10 Apr 2025 12:36
URI: http://repository.journals4promo.com/id/eprint/1907

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