Existence and approximate controllability of Sobolev type fractional stochastic evolution equations

• Autorzy: Mahmudov N. I.

Identyfikatory

DOI

10.2478/bpasts-2014-0020

• Języki publikacji: EN

Abstrakty

EN

We study the existence of mild solutions and the approximate controllability concept for Sobolev type fractional semilinear stochastic evolution equations in Hilbert spaces. We prove existence of a mild solution and give sufficient conditions for the approximate controllability. In particular, we prove that the fractional linear stochastic system is approximately controllable in [0, b] if and only if the corresponding deterministic fractional linear system is approximately controllable in every [s, b], 0 ≤ s < b. An example is provided to illustrate the application of the obtained results.

Słowa kluczowe

EN

approximate controllability; Sobolev type fractional stochastic evolution equations

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 2
• Strony: 205--215
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Mahmudov N. I.

• Department of Mathematics, Eastern Mediterranean University, Gazimagusa, TRNC, Mersin10, Turkey

Bibliografia

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