On Mellin transform application to solution of fractional differential equations

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

Abstrakty

EN

The Mellin transform method is applied to fractional differential equations with a right-sided derivative and variable potential. After solving the intermediate difference equation we arrive at the general solution of the problem in the form of a Meijer-G-function series. Using the symmetry properties of fractional derivatives we transform it into a general solution for an analogous equation with the left-sided Riemann-Liouville derivative. Two examples are studied in detail and an explicit form of component solutions is given.

Słowa kluczowe

EN

Mellin transform; fractional differential equations; fractional calculus

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 2
• Strony: 31--41
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Klimek M.

autor

Dziembowski D.

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

Bibliografia

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