@Thomas Richard It is sad and scandalous that Maple, after all these years, still has so poor facility to solve integral equations. What little does exist originated as a contribution to Maple Share library (become Maple Application Centre) from a student of a professor (Rob Corless) in University of Western Ontario, slightlly enhanced. In 1977, i.e. three years before Maple was even born, David Stoutemyer, originator of MuMath and Derive, published some methods of solution of non-linear integral equations based on Reduce, but, despite being informed of this achievement, Maplesoft has failed to respond to the opportunity, shamefully. I do not expect that methods to handle integral equations of non-integer order will appear imminently, but for other methods the results are long overdue.