publication . Preprint . 2017

On a higher order multi-term time-fractional partial differential equation involving Caputo-Fabrizio derivative

Pirnapasov, Sardor; Karimov, Erkinjon;
Open Access English
  • Published: 18 Aug 2017
Abstract
In the present work we discuss higher order multi-term partial differential equation (PDE) with the Caputo-Fabrizio fractional derivative in time. We investigate a boundary value problem for fractional heat equation involving higher order Caputo-Fabrizio derivatives in time-variable. Using method of separation of variables and integration by parts, we reduce fractional order PDE to the integer order. We represent explicit solution of formulated problem in particular case by Fourier series.
Subjects
free text keywords: Mathematics - Analysis of PDEs, 33E12
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