Electron. J. Differential Equations, Vol. 2017 (2017), No. 243, pp. 1-11.

Higher order multi-term time-fractional partial differential equations involving Caputo-Fabrizio derivative

Erkinjon Karimov, Sardor Pirnafasov

Abstract:
In this work we discuss higher order multi-term partial differential equation (PDE) with the Caputo-Fabrizio fractional derivative in time. Using method of separation of variables, we reduce fractional order partial differential equation to the integer order. We represent explicit solution of formulated problem in particular case by Fourier series.

Submitted August 10, 2017. Published October 5, 2017.
Math Subject Classifications: 33E12.
Key Words: Fractional differential equations; separation of variables; Caputo-Fabrizio derivative.

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Erkinjon Karimov
Institute of Mathematics named after V. I. Romanovsky
Uzbekistan Academy of Sciences
Tashkent 100125, Uzbekistan
email: erkinjon@gmail.com
Sardor Pirnafasov
Institute of Mathematics named after V. I. Romanovsky
Uzbekistan Academy of Sciences
Tashkent 100125, Uzbekistan
email: sardor.pirnafasov@gmail.com

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