Explicit solutions of fractional integral and differential equations involving Erdélyi-Kober operators

摘要

By means of fractional calculus techniques we find explicit solutions of Volterra integral equations of second kind and fractional differential equations, involving Erdélyi-Kober fractional integrals or derivatives. We use the transmutation method to reduce the solutions of these equations to known solutions of simpler (Riemann-Liouville) equations of the same type. Some examples are given.