The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems

Abstract This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. To ensure the existence and uniqueness of mild solution, a set of sufficient conditions is constructed. The existence of fractional optimal control for semilinear stochas...

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Autor principal:	Kumar,Surendra
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Materias:	Fractional calculus Semilinear stochastic system Mild solution Optimal control Fixed point theory
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300001
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spelling	oai:scielo:S0719-064620170003000012018-06-25The Solvability and Fractional Optimal Control for Semilinear Stochastic SystemsKumar,Surendra Fractional calculus Semilinear stochastic system Mild solution Optimal control Fixed point theory Abstract This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. To ensure the existence and uniqueness of mild solution, a set of sufficient conditions is constructed. The existence of fractional optimal control for semilinear stochastic system is also discussed. Finally, an example is included to show the applications of the developed theory.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.3 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300001en10.4067/S0719-06462017000300001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fractional calculus Semilinear stochastic system Mild solution Optimal control Fixed point theory
spellingShingle	Fractional calculus Semilinear stochastic system Mild solution Optimal control Fixed point theory Kumar,Surendra The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
description	Abstract This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. To ensure the existence and uniqueness of mild solution, a set of sufficient conditions is constructed. The existence of fractional optimal control for semilinear stochastic system is also discussed. Finally, an example is included to show the applications of the developed theory.
author	Kumar,Surendra
author_facet	Kumar,Surendra
author_sort	Kumar,Surendra
title	The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
title_short	The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
title_full	The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
title_fullStr	The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
title_full_unstemmed	The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems
title_sort	solvability and fractional optimal control for semilinear stochastic systems
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300001
work_keys_str_mv	AT kumarsurendra thesolvabilityandfractionaloptimalcontrolforsemilinearstochasticsystems AT kumarsurendra solvabilityandfractionaloptimalcontrolforsemilinearstochasticsystems
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The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems

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