fractional stochastic differential problems with applications

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Date

2025

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université Ghardaia

Abstract

In this memoir, we have investigated solutions to stochastic fractional differential equations (SFDE), encompassing existence and uniqueness analysis. We have presented fundamental concepts of fractional calculus (fractional differentiation and integration) as well as stochastic calculus (SFDE and SDE), followed by solving a stochastic fractional differential equation.

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Functional Analysis Specialty

Keywords

Special functions, fractional calculus, Caputo, FDE, stochastic calculus, SDE, fractional stochastic differential equations (FSDE)., :Fonctions spéciales, calcul fractionnaire, caputo, EDF, calcul stochastique, EDS, équations différentielles stochastiques d’ordre fractionnaire (EDFS).

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