Abstract
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 Erdélyi–Kober fractional integrals and derivatives. Also, some hypergeometric integral equations have been considered and solved as double Erdélyi–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.
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