Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1201.35148
Kilbas, Anatoly A.; Repin, Oleg A.
An analog of the Tricomi problem for a mixed type equation with a partial fractional derivative. (English)
[J] Fract. Calc. Appl. Anal. 13, No. 1, 69-84 (2010). ISSN 1311-0454; ISSN 1314-2224/e

An analog of Tricomi boundary value problem is for a special partial differential equation of mixed type is under consideration. It involves a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines.\par Uniqueness and existence of a solution of the considered problem are proved by using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel. Its explicit solution is established in terms of the new special function.
[Elena Gavrilova (Sofia)]

MSC 2000:: *35M10 PDE of mixed type
35R11
26A33 Fractional derivatives and integrals (real functions)
33C05 Classical hypergeometric functions
33E12 Mittag-Leffler functions and generalizations
33C20 Generalized hypergeometric series

Keywords: partial differential equation of mixed type; fractional integrals and derivatives; Gauss hypergeometric function; Mittag-Leffler functions; generalized hypergeometric series

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]