Bzheumikhova O.I., Lesev V.N.
ON THE ISSUE OF THE RELATIONSHIPS OF DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS AND EQUATIONS WITH FRACTIONAL INTEGRALS
Kabardino-Balkarian State University
The article has been composed as a review of general problems of the theory of equations with deviating arguments and equations with operators of fractional integro-differentiation. In particular the cases in which one of these types of equations can be converted to another have been described here. In addition, the tasks for equations with distributed delay have been singled out on the basis of methods typical to the equations containing the Riemann-Liouville operators.
Keywords: differential equation, a distributed delay, fractional integrals.