Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (1)
- Authors
- Orlovsky, Dmitry G.
- Contact information
- Orlovsky, Dmitry G.:National Research Nuclear University MEPhI Kashirskoye shosse, 31, Moscow, 115409 Russia;
- Keywords
- equation of fractional order; Hilbert space; self-adjoint operator; Cauchy-type problem; Mittag-Leffler function; inverse problem; characteristic function
- Abstract
The Cauchy type problem for a differential equation with fractional derivative and self-adjoint operator in a Hilbert space is considered. The problem of parameter determination in equation by the value of the solution at a fixed point is presented. Theorems of existence and uniqueness of the solution are proved
- Pages
- 55–63
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/16690
Journal of Siberian Federal University. Mathematics & Physics / Parameter Determination in a Differential Equation of Fractional Order with Riemann -Liouville Fractional Derivative in a Hilbert Space
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