Approximate controllability of Fractional stochastic systems - Abid, Salah Hamza;Hassan, Sameer Qasim;Quaez, Uday Jabbar
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The aim of this book is to study the principal concepts of the approximate controllability for some complicated classes of stochastic control systems of fractional order driven by mixed fractional Brownian motion in real separable Hilbert spaces and presented as new classes. The problems of approximate controllability of nonlinear fractional Riemann-Liouville type of order stochastic integro-differential equations driven by mixed fractional Brownian motion investigated and proved by using necessary condition of independence the fractional Brownian motion and Wiener process and also, by using…mehr

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Produktbeschreibung
The aim of this book is to study the principal concepts of the approximate controllability for some complicated classes of stochastic control systems of fractional order driven by mixed fractional Brownian motion in real separable Hilbert spaces and presented as new classes. The problems of approximate controllability of nonlinear fractional Riemann-Liouville type of order stochastic integro-differential equations driven by mixed fractional Brownian motion investigated and proved by using necessary condition of independence the fractional Brownian motion and Wiener process and also, by using Banach fixed point theorem. Also, the result is extended to study the approximate controllability for nonlinear fractional Riemann-Liouville type of order stochastic perturbed control systems with driven by mixed fractional Brownian motion by using Krasnoselskii fixed point theorem. Finally, the approximate controllability of nonlinear fractional Caputo of order Sobolev type stochastic differential equations driven by mixed fractional Brownian motion has been studied by using some complicated integrations and the compactness of operators.
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Autorenporträt
Professor Dr. Salah Hamza Abid and Assistant Professor Dr. Sameer Qasim Hassan are Professors at AL-Mustansiriya University College of Education Department of Mathematics and Uday Jabbar Quaez is a teacher at Alkadheen school, Ministry of Education (Iraq )