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Random Evolution Equations with Bounded Fractional Integral-Feedback

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Book cover Nonlinear Analysis and Boundary Value Problems (NABVP 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 292))

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Abstract

We consider abstract evolution with random parameter. We introduce the notion of stabilization with respect to the random parameter and fractional integral-feedback. More precisely study the well-posedness and polynomial stabilization result for random evolution equation with fractional integral-feedback. Finally we give some applications to random heat and wave equations with fractional integral-feedback and bounded damping.

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Acknowledgements

The authors would like to thank the anonymous referees for their careful reading of the manuscript and pertinent comments; their constructive suggestions substantially improved the quality of the work.

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Authors and Affiliations

  1. Laboratory of Mathematics, Sidi-Bel-Abbès University, PoBox 89, 22000, Sidi-Bel-Abbès, Algeria

    Abdelkader Moulay & Abdelghani Ouahab

  2. Department of Mathematics and Computer Science, University of Adrar, National Road No. 06, 01000, Adrar, Algeria

    Abdelkader Moulay & Abdelghani Ouahab

Authors
  1. Abdelkader Moulay
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  2. Abdelghani Ouahab
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Corresponding author

Correspondence to Abdelghani Ouahab .

Editor information

Editors and Affiliations

  1. Departamento de Matemática Aplicada II, Universidade de Vigo, Ourense, Spain

    Iván Area

  2. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Alberto Cabada

  3. Departamento de Matemáticas, Universidade de Vigo, Ourense, Spain

    José Ángel Cid

  4. E.T.S. Ingenieros Industriales, Universidad Nacional de Educación a Distancia (UNED), Madrid, Spain

    Daniel Franco

  5. Departamento de Matemática Aplicada II, Universidade de Vigo, Vigo, Pontevedra, Spain

    Eduardo Liz

  6. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rodrigo López Pouso

  7. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rosana Rodríguez-López

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Moulay, A., Ouahab, A. (2019). Random Evolution Equations with Bounded Fractional Integral-Feedback. In: Area, I., et al. Nonlinear Analysis and Boundary Value Problems . NABVP 2018. Springer Proceedings in Mathematics & Statistics, vol 292. Springer, Cham. https://doi.org/10.1007/978-3-030-26987-6_17

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