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Finite-time attractivity for semilinear tempered fractional wave equations

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Abstract

We prove the existence and finite-time attractivity of solutions to semilinear tempered fractional wave equations with sectorial operator and superlinear nonlinearity. Our analysis is based on the α-resolvent theory, the fixed point theory for condensing maps and the local estimates of solutions. An application to a class of partial differential equations will be given.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

    Tran Dinh Ke

  2. Department of Mathematics, Electric Power University, Hanoi, Vietnam

    Nguyen Nhu Quan

Authors
  1. Tran Dinh Ke
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  2. Nguyen Nhu Quan
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Correspondence to Tran Dinh Ke.

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Ke, T.D., Quan, N.N. Finite-time attractivity for semilinear tempered fractional wave equations. FCAA 21, 1471–1492 (2018). https://doi.org/10.1515/fca-2018-0077

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  • DOI: https://doi.org/10.1515/fca-2018-0077

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