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Boundary-value problems for fractional heat equation involving Caputo-Fabrizio derivative

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)

Publication Date:

Authors : ; ; ;

Page : 79-89

Keywords : Caputo-Fabrizio fractional derivative fractional heat equation.;

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Abstract

In this work, we consider a number of boundary-value problems for time-fractional heat equation with the recently introduced Caputo-Fabrizio derivative. Using the method of separation of variables, we prove a unique solvability of the stated problems. Moreover, we have found an explicit solution to certain initial value problem for Caputo-Fabrizio fractional order differential equation by reducing the problem to a Volterra integral equation. Different forms of solution were presented depending on the values of the parameter appeared in the problem.

Last modified: 2017-01-26 01:08:09