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Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

The generalization of physical processes by using local or nonlocalfractional operators has been an attractive research topic over the last decade. Fractionalization of integer order models gives quite reality to mathematical descriptions so that one should obtain the sub/super behaviors of real world problems. In this article, we are motivated to formulate a wave-like equation in terms of the left sequential conformable fractional derivative on a radial plate and also discuss on the differences among the statements of classical, existing fractional and conformable fractional wave equations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, Balikesir University, Cagis Campus, 10145, Balikesir, Turkey

    Derya Avcı, Beyza Billur İskender Eroğlu & Necati Özdemir

Authors
  1. Derya Avcı
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  2. Beyza Billur İskender Eroğlu
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  3. Necati Özdemir
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Corresponding author

Correspondence to Derya Avcı .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Avcı, D., İskender Eroğlu, B.B., Özdemir, N. (2017). Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_13

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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