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math.CA2026
Characterizations of fractional operators via integral transforms
Daniel Cao Labora, Marc Jornet
In 1974, J. S. Lew established a reasonable conjecture regarding an axiomatic characterization for the one-dimensional Riemann--Liouville integral. This conjecture was proved by Ca…
math.CA2023
An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case
Daniel Cao Labora
In 1976, Donald Cartwright and John McMullen characterized axiomatically the Riemann-Liouvile fractional integral in a paper that was published in 1978. The motivation for their wo…
math.CA2017★ 9 cited
From fractional order equations to integer order equations (PREPRINT)
Daniel Cao Labora, Rosana Rodríguez-López
The main goal of this article is to show a new method to solve some Fractional Order Integral Equations (FOIE), more precisely the ones which are linear, have constant coefficients…