Parameter Determination in a Differential Equation of Fractional Order with Riemann -Liouville Fractional Derivative in a Hilbert Space

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.