THE CAUCHY PROBLEM FOR A REGULAR CONTINUOUS DIFFERENTIAL EQUATION OF SECOND ORDER WITH REGULARIZED DERIVATIVES OF SEGMENT ORDER

Abstract

In this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution.

Keywords

• Cauchy problem
• the continuous differential equation regularized derivative segment of the order
• the fundamental solution