Results 11 to 20 of about 12,854 (309)

Martingale Decomposition and Backward Stochastic Dynamic Equations on Time Scales

open access: yesJournal of Mathematics, 2022
The paper aims to establish the related backward stochastic dynamic equations on time scales, BS ∇ Es for short, concerning to ∇-integral on time scales.
Guofeng Tang, Guangyan Jia
doaj   +1 more source

Studying Some Stochastic Differential Equations with trigonometric terms with Application

open access: yesZanco Journal of Pure and Applied Sciences, 2022
In this paper we look at several (trigonometric) stochastic differential equations, we find the general form for such nonlinear stochastic differential equation by using the I'to formula.
Abdulghafoor Jasim Salim , Ali A. Asmael
doaj   +1 more source

Stability Issues for Selected Stochastic Evolutionary Problems: A Review

open access: yesAxioms, 2018
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone   +3 more
doaj   +1 more source

Stochastic integral equations for Walsh semimartingales [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2018
39 ...
Ichiba, Tomoyuki   +3 more
openaire   +4 more sources

Generalized stochastic integrals and equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
1. Introduction. In his fundamental memoir [7] K. Ito introduced an important class of stochastic differential equations which are now known as Ito equations. These equations are based on his definitions of stochastic integrals with respect to Brownian motion and random measures with independent values.
openaire   +2 more sources

On the Construction of Some Fractional Stochastic Gompertz Models

open access: yesMathematics, 2020
The aim of this paper is the construction of stochastic versions for some fractional Gompertz curves. To do this, we first study a class of linear fractional-integral stochastic equations, proving existence and uniqueness of a Gaussian solution.
Giacomo Ascione, Enrica Pirozzi
doaj   +1 more source

Applicability of time conformable derivative to Wick-fractional-stochastic PDEs

open access: yesAlexandria Engineering Journal, 2020
Fractional-stochastic quadratic-cubic nonlinear Schrödinger equation (QC-NLSE) describing propagation of solitons through optical fibers is analyzed. Hermite transforms, white noise analysis and an improved computational method are used to investigate ...
Zeliha Korpinar   +5 more
doaj   +1 more source

On the Representation of the Goursat Boundary Problem Solution for the First Order Partial Derivatives Stochastic Hyperbolic Equations

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
We study the standard canonical form of a stochastic analog of a system of linear partial differential equations of first order hyperbolic type with Goursat boundary conditions.
K.B. Mansimov, R.O. Mastaliyev
doaj   +1 more source

Set-valued and fuzzy stochastic integral equations driven by semimartingales under Osgood condition

open access: yesOpen Mathematics, 2015
We analyze the set-valued stochastic integral equations driven by continuous semimartingales and prove the existence and uniqueness of solutions to such equations in the framework of the hyperspace of nonempty, bounded, convex and closed subsets of the ...
Malinowski Marek T.
doaj   +1 more source

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