Approximate solution of equations with fractional integrals in teaching students

Abstract

The scope of application of fractional calculus continues to grow today. The study of fractional integrals is included in the plans for the preparation of students in mathematical and technical areas, as well as in areas related to computer science and computer technology. When solving equations with fractional integrals, as a rule, approximate methods are often used. Computer algebra systems make it possible to perform a large number of calculations related to the solution of integro-differential problems. This article discusses the solution of a fractional integro-differential equation by the method of moments. Using Wolfram Mathematica, an approximate solution to the viscoelastic equation is found and compared with the exact solution. There are presented assignments for students that can be used in offline and online learning.