On solution of fractional partial differential equation by the weighted fractional operator


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Bayrak M. A. , Demir A. , Ozbilge E.

Alexandria Engineering Journal, 2020 (SCI Expanded İndekslerine Giren Dergi) identifier

Özet

© 2020 Faculty of Engineering, Alexandria UniversityThe motivation of this paper is to construct the solution of fractional partial differential equations (FPDEs) by the combination of Laplace transform homotopy analysis method (LHAM) and the Laplace transform residual power series method (LRPSM) with weighted Atangana-Baleanu and weighted Caputo-Fabrizio fractional derivatives with specific weighted functions. Moreover, the solutions are analyzed by comparing with exact solutions of these equations. The obtained consequences illustrate that methods LHAM and LRPSM work very well to determine the solutions of FPDEs with weighted fractional derivatives in consideration.