Hilfer–Katugampola fractional derivatives
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DOI: 10.1007/s40314-017-0536-8
Abstract: We propose a new fractional derivative, the Hilfer–Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer–Hadamard, Riemann–Liouville, Hadamard, Caputo, Caputo–Hadamard, Liouville, Weyl, generalized and Caputo-type. As… read more here.
Keywords: derivatives hilfer; caputo; hilfer katugampola; katugampola fractional ... See more keywords
Bounds for the Remainder in Simpson’s Inequality vian-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
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DOI: 10.1155/2020/4189036
Abstract: The goal of this paper is to derive some new variants of Simpson’s inequality using the class of - polynomial convex functions of higher order. To obtain the main results of the paper, we first… read more here.
Keywords: polynomial convex; convex functions; higher order; simpson inequality ... See more keywords