DOAJ Open Access 2014

Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces

Mourad Kerboua Amar Debbouche Dumitru Baleanu

Abstrak

We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces. We use Hölder's inequality, fixed point technique, fractional calculus, stochastic analysis and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions is formulated and proved for the fractional stochastic control system to be approximately controllable. An example is given to illustrate the abstract results.

Topik & Kata Kunci

Mathematics

Penulis (3)

Mourad Kerboua

Amar Debbouche

Dumitru Baleanu

Format Sitasi

APA MLA BibTeX

Kerboua, M., Debbouche, A., Baleanu, D. (2014). Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. https://doi.org/10.14232/ejqtde.2014.1.58

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Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.14232/ejqtde.2014.1.58
Akses: Open Access ✓