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 |
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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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