Dissertation (MA Mathematics)A number of phenomena in modern science can be conveniently described in terms of problems for parabolic equations with Bessel operator and non-local conditions. The purpose of this study is to give a survey of classical and non-classical problems for parabolic differential equations with Bessel operator, give introduction to several different research approaches and show how the choice of a method depends on the nature of the problem. Another aim is to study the solution to the problem with non-local integral