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Existence Result for Semilinear Fractional Stochastic Evolution Inclusions Driven by Poisson Jumps

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Mathematical Analysis and its Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 143))

Abstract

In this manuscript, the sufficient conditions are established for the existence of mild solutions of semilinear fractional stochastic evolution inclusions driven by Poisson jumps in a Hilbert space. The results are obtained by using a fixed point theorem for condensing multivalued map due to Martelli.

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Acknowledgments

The work of authors are supported by Council of Scientific and Industrial Research, Extramural Research Division, Pusa, New Delhi, India under the grant No. 25(0217)/13/EMR-II.

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Authors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute—Deemed University, Gandhigram, 624 302, Tamil Nadu, India

    P. Tamilalagan & P. Balasubramaniam

Authors
  1. P. Tamilalagan
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  2. P. Balasubramaniam
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Corresponding author

Correspondence to P. Balasubramaniam .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    R. N. Mohapatra

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Uaday Singh

  4. Dept. of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H. M. Srivastava

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Tamilalagan, P., Balasubramaniam, P. (2015). Existence Result for Semilinear Fractional Stochastic Evolution Inclusions Driven by Poisson Jumps. In: Agrawal, P., Mohapatra, R., Singh, U., Srivastava, H. (eds) Mathematical Analysis and its Applications. Springer Proceedings in Mathematics & Statistics, vol 143. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2485-3_39

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