Abstract:
We establish the similarity between certain Volterra integral operators and the Riemann–Liouville fractional integration operator as well as the existence of a triangular transformation operator for integro-differential equations of fractional order. The results obtained are consistent with similar results for the case of integer order.
Citation:
M. Yu. Ignat'ev, “On the Similarity between Volterra Operators and Transformation Operators for Integro-Differential Operators of Fractional Order”, Mat. Zametki, 73:2 (2003), 206–216; Math. Notes, 73:2 (2003), 192–201