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Applications of fuzzy Laplace transforms

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Abstract

A natural way to model dynamic systems under uncertainty is to use fuzzy initial value problems (FIVPs) and related uncertain systems. In this paper, we express the fuzzy Laplace transform and then some of its well-known properties are investigated. In addition, an existence theorem is given for fuzzy-valued function which possess the fuzzy Laplace transform. Consequently, we investigate the solutions of FIVPs and the solutions in state-space description of fuzzy linear continuous-time systems under generalized H-differentiability as two new applications of fuzzy Laplace transforms. Finally, some examples are given to show the efficiency of the proposed method.

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Acknowledgments

The authors are very grateful to Editor-in-Chief, Prof. Antonio Nola, Associate Editor, Prof. Vilem Novak and referees for their useful comments and suggestions.

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Authors and Affiliations

  1. Young Researchers Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran

    S. Salahshour

  2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    T. Allahviranloo

Authors
  1. S. Salahshour
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  2. T. Allahviranloo
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Correspondence to S. Salahshour.

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Salahshour, S., Allahviranloo, T. Applications of fuzzy Laplace transforms. Soft Comput 17, 145–158 (2013). https://doi.org/10.1007/s00500-012-0907-4

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  • DOI: https://doi.org/10.1007/s00500-012-0907-4

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