On the $$\Psi $$Ψ-fractional integral and applications
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0774-z
Abstract: Motivated by the $$\Psi $$Ψ-Riemann–Liouville $$(\Psi -\mathrm{RL})$$(Ψ-RL) fractional derivative and by the $$\Psi $$Ψ-Hilfer $$(\Psi -\mathrm{H})$$(Ψ-H) fractional derivative, we introduced a new fractional operator the so-called $$\Psi $$Ψ-fractional integral. We present some important results by… read more here.
Keywords: psi; psi fractional; fractional integral; integral applications ... See more keywords
On a set-valued Young integral with applications to differential inclusions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126104
Abstract: We present a new Aumann-like integral for a Hölder multifunction with respect to a Hölder signal, based on the Young integral of a particular set of Hölder selections. This restricted Aumann integral has continuity properties… read more here.
Keywords: applications differential; differential inclusions; valued young; young integral ... See more keywords