21 citations · 36 across the 3 of their papers we have counts for
3 papers
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.PR2024★ 21 cited
Theory on new fractional operators using normalization and probability tools
Marc Jornet
We show how a rescaling of fractional operators with bounded kernels may help circumvent their documented deficiencies, for example, the inconsistency at zero or the lack of invers…
math.CA2024★ 15 cited
Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function
Marc Jornet
The L-fractional derivative is defined as a certain normalization of the well-known Caputo derivative, so alternative properties hold: smoothness and finite slope at the origin for…