Solution of hybrid time fractional diffusion problem via weighted inner product

• Autorzy: Cetinkaya Suleyman , Demir Ali

Identyfikatory

DOI

10.17512/jamcm.2021.2.0

• Języki publikacji: EN

Abstrakty

EN

In this research, we discuss the construction of the analytic solution of homogenous initial boundary value problem including partial differential equations of fractional order. Since the homogenous initial boundary value problem involves the Hybrid fractional order derivative with various coefficients functions, it has classical initial and boundary conditions. By means of separation of the variables method and the inner product defined on L ² [0,l], the solution is constructed in the form of a Fourier series including the bivariate Mittag-Leffler function. An illustrative example presents the applicability and influence of the separation of variables method on time fractional diffusion problems. Moreover, as the fractional order α tends to 1, the solution of the fractional diffusion problem tends to the solution of the diffusion problem which proves the accuracy of the solution.

Słowa kluczowe

EN

hybrid fractional derivative; bivariate Mittag-Leffler function; Dirichlet boundary conditions; spectral method; weighted inner product

PL

metoda spektralna; pochodna ułamkowa; funkcja Mittag-Lefflera; warunek brzegowy Dirichleta

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 2
• Strony: 17--27
• Opis fizyczny: Bibliogr. 21 poz. rys.

Twórcy

autor

Cetinkaya Suleyman

• Faculty of Arts and Sciences, Kocaeli University Kocaeli, Turkey

autor

Demir Ali

• Faculty of Arts and Sciences, Kocaeli University Kocaeli, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).