fractional stochastic differential equations with hilfer fractional derivative: poisson jumps and optimal control

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ID: 207053
2017
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Abstract
In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus. Further, we study the existence of optimal control pairs for the system, using general mild conditions of cost functional. Finally, we provide an example to illustrate the obtained results.
Reference Key
rihan2017discretefractional Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Fathalla A. Rihan;Chinnathambi Rajivganthi;Palanisamy Muthukumar
Journal Journal of the American Heart Association
Year 2017
DOI
10.1155/2017/5394528
URL
http://dx.doi.org/10.1155/2017/5394528
Keywords
mathematics

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