Transmutation method for solving Erdelyi-Kober fractional differintegral equations

[摘要] By means of fractional calculus techniques we find explicit solutions of Volterra integral equations of the second kind and fractional differential and differintegral equations, involving Erdelyi-Kober fractional integrals and derivatives. Also, some hypergeometric integral equations have been considered and solved as double Erdelyi-Kober equations of the second kind. We use the transmutation method to reduce the solutions of all these equations to known solutions of simpler (Riemann-liouville) equations of the same type. Some examples are given. (C) 1997 Academic Press.

[发布日期] 1997-07-01