Some Inequalities Involving Fractional q-Derivatives Related to the q-Leibniz Rule
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0655-4
Abstract: In this paper, we present some inequalities for Riemann–Liouville and Caputo q-fractional derivatives related to the q-Leibniz rule. We used one of the inequalities to prove the maximum principle for a time fractional q-Cauchy differential… read more here.
Keywords: leibniz rule; derivatives related; inequalities involving; fractional derivatives ... See more keywords
A simple proof of the generalized Leibniz rule on bounded Euclidean domains
Sign Up to like & getrecommendations! Published in 2021 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0228
Abstract: Abstract This paper is devoted to a simple proof of the generalized Leibniz rule in bounded domains. The operators under consideration are the so-called spectral Laplacian and the restricted Laplacian. Equations involving such operators have… read more here.
Keywords: leibniz rule; rule bounded; generalized leibniz; bounded domains ... See more keywords
On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439519000407
Abstract: Abstract We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves. read more here.
Keywords: subcartesian spaces; spaces leibniz; leibniz rule; rule ... See more keywords