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On conformable double Laplace transform

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Abstract

In this study authors introduce the conformable double Laplace transform which can be used to solve fractional partial differential equations that represents many physical and engineering models. In these models the derivatives and integrals are in the sense of newly defined conformable type. Then some properties of conformable double Laplace transform are expressed. Finally fractional heat equation and fractional telegraph equation which is used in various applications in science and engineering investigated as an application of this new transform.

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Authors and Affiliations

  1. Department of Mathematics, Selçuk University, Konya, Türkiye

    Ozan Özkan

  2. Department of Mathematics, Mustafa Kemal University, Hatay, Türkiye

    Ali Kurt

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  1. Ozan Özkan
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  2. Ali Kurt
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Correspondence to Ali Kurt.

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Özkan, O., Kurt, A. On conformable double Laplace transform. Opt Quant Electron 50, 103 (2018). https://doi.org/10.1007/s11082-018-1372-9

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  • DOI: https://doi.org/10.1007/s11082-018-1372-9

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