Meijer G-functions series as exact solutions of a class of non-homogeneous fractional differential equations

• Autorzy: Klimek M. , Dziembowski D.
• Języki publikacji: EN

Abstrakty

EN

A fractional differential equation of real order α, containing variable coefficient t β and a non-homogeneous term, is solved. The general solution is obtained as a sum of Meijer G-functions series determining the solution of a homogeneous counterpart of the considered equation and a series representing the particular solution of a non-homogeneous equation. The convergence of the respective series is analyzed in detail using theorems on properties of Meijer G functions. As an example, two equations, with β = 0 and β = α /2 are studied.

Słowa kluczowe

EN

fractional calculus; non-homogeneous fractional differential equations; Meijer G-functions

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 2
• Strony: 71--85
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Klimek M.

autor

Dziembowski D.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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