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AIMS Mathematics

2017, Volume 2, Issue 2: 348-364. doi: 10.3934/Math.2017.2.348
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Research article

Large Deviations for Stochastic Fractional Integrodifferential Equations

  • Department of Mathematics, Bharathiar University, Coimbatore 641046, India
  • Received: 20 January 2017 Accepted: 25 May 2017 Published: 12 June 2017

  • MSC : 34A08, 45J05, 60F10, 60H10

  • In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic fractional integrodifferential equations by using the weak convergence approach. The compactness argument is proved on the solution space of corresponding skeleton equation and the weak convergence is done for Borel measurable functions whose existence is asserted from Yamada-Watanabe theorem. Examples are included which illustrate the theory and also depict the link between large deviations and optimal controllability.

    Citation: Murugan Suvinthra, Krishnan Balachandran, Rajendran Mabel Lizzy. Large Deviations for Stochastic Fractional Integrodifferential Equations[J]. AIMS Mathematics, 2017, 2(2): 348-364. doi: 10.3934/Math.2017.2.348

    Related Papers:

  • In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic fractional integrodifferential equations by using the weak convergence approach. The compactness argument is proved on the solution space of corresponding skeleton equation and the weak convergence is done for Borel measurable functions whose existence is asserted from Yamada-Watanabe theorem. Examples are included which illustrate the theory and also depict the link between large deviations and optimal controllability.


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