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In this work, we apply and extend our ideas presented in [ 4 ] for solving fractional integral equations with Riemann-Liouville definition. The approach made in [ 4 ] turned any linear fractional integral equation with constant coefficients and rational orders into a similar one, but with integer orders. If the right hand side was smooth enough we could differentiate at both sides to arrive to a linear ODE with constant coefficients and some initial conditions, that can be solved via an standard procedure.

Improvements in a method for solving fractional integral equations with some links with fractional differential equations