Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function
M Jornet - arXiv preprint arXiv:2403.00341, 2024 - arxiv.org
We develop a theory on linear L-fractional differential equations. The L-fractional derivative
${}^ L\! D^\alpha $ is defined as a certain normalization of the well-known Caputo derivative …
${}^ L\! D^\alpha $ is defined as a certain normalization of the well-known Caputo derivative …
Higher-order fractional equations and related time-changed pseudo-processes
F Cinque, E Orsingher - arXiv preprint arXiv:2402.13691, 2024 - arxiv.org
We study Cauchy problems of fractional differential equations in both space and time
variables by expressing the solution in terms of``stochastic composition" of the solutions to …
variables by expressing the solution in terms of``stochastic composition" of the solutions to …