O. A. Repin, S. A. Sayganova, “A boundary-value problem with shifted for a mixed type equation with fractional derivative”, Izv. Saratov Univ. Math. Mech. Inform., 2011, Volume 11, Issue 1,Pages <nobr>89

Mechanics

A boundary-value problem with shifted for a mixed type equation with fractional derivative

O. A. Repin^a, S. A. Sayganova^b

^a Samara State Economic University, Chair of Mathematical Statistics
^b Samara State Technical University, Chair of Applied Mathematics and Informatics

Abstract: A non-local problem for a mixed type equation with partial fractional derivative of Riemann–Liouville is studied, boundary condition of which contains linear combination of generalized operators of fractional integro-differentiation. Unique solvability of the problem is then proved.

Key words: boundary-value problem, operator, fractional derivative, integral equation.

UDC: 517.956.32

DOI: 10.18500/1816-9791-2011-11-1-89-94