Recently Kiryakova and several other ones have investigated so-called
multiindex Mittag-Leffler functions associated with fractional calculus.
Here, in this paper, we aim at establishing a new fractional integration
formula (of pathway type) involving the generalized multiindex Mittag-Leffler
function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result
are also considered and shown to be connected with certain known ones.
AbstractIn this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
Abstract
We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.
A remark on local fractional calculus and ordinary derivatives