Inverse Cauchy problem for fractional telegraph equations with distributions

Keywords:
generalized function, fractional derivative, inverse problem, Green vector-function
Published online:
2016-06-30
Abstract
The inverse Cauchy problem for the fractional telegraph equation with given distributions in the right-hand sides of the equation and initial conditions is studied. Our task is to determinate a pair of functions: a generalized solution (continuous in time variable in general sense) and unknown continuous minor coefficient . The unique solvability of the problem is established.
How to Cite
(1)
Lopushanska, H.; Rapita, V. Inverse Cauchy Problem for Fractional Telegraph Equations With Distributions. Carpathian Math. Publ. 2016, 8, 118-126.