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Wiener processes on ????(q,h) time scales

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Abstract In this paper we deduce a kind of Brownian motion on the time scale ????(q,h). We see that this kind of Wiener process can not be extend to real… Click to show full abstract

Abstract In this paper we deduce a kind of Brownian motion on the time scale ????(q,h). We see that this kind of Wiener process can not be extend to real numbers, and a special concept of Itô integral appears in it. We prove that there exist such Wiener processes. As an application we deduce a stochastic differential equation for knowledge spread, and we determine the form of it’s solutions.

Keywords: time scales; processes time; time; wiener processes

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2019

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