INVERSE PROBLEM FOR DETERMINING THE VELOCITY COEFFICIENT FROM A ONE-DIMENSIONAL FRACTIONAL TELEGRAPH EQUATION

Abstract

This article studies the inverse problem related to determining the velocity coefficient for a one-dimensional fractional-order telegraph equation. Telegraph equations modeled using fractional derivatives allow for a more accurate representation of complex physical processes. The inverse problem focuses on identifying unknown parameters based on observed data, which is of significant theoretical and practical importance. The article analyzes the formulation of the problem, modern approaches, and their relevance