This article is cited in 19 papers

Parameter determination in a differential equation of fractional order with Riemann–Liouville fractional derivative in a Hilbert space

Dmitry G. Orlovsky

National Research Nuclear University MEPhI, Kashirskoye shosse, 31, Moscow, 115409, Russia

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.

Keywords: equation of fractional order, Hilbert space, self-adjoint operator, Cauchy-type problem, Mittag–Leffler function, inverse problem, characteristic function.

UDC: 517.986.7

Received: 10.10.2014
Received in revised form: 20.11.2014
Accepted: 15.12.2014

Language: English