S.Kh. Gekkieva, “Gevrey’s problem for parabolic mixed type equation with fractional derivative”, News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 2,Pages <nobr>37

This article is cited in 1 paper

Maths. Physics

Gevrey’s problem for parabolic mixed type equation with fractional derivative

S.Kh. Gekkieva

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A

Abstract: The paper deals with the Gevrey problem for the parabolic equation with direct and reverse time in a rectangular domain. The solvability of the problem is reduced to the solvability of the generalized Abel equation within the class of functions satisfying the Holder condition.

Keywords: Gevrey’s problem, fractional diffusion equation, Riemann – Liouville fractional integrodifferentiation operator, mixed-parabolic equation, Wright type function, Abel equation, Holder condition.

UDC: 517.95

Received: 20.02.2017