Existence and Uniqueness of an Inverse Memory Kernel for an Integro-Differential Parabolic Equation with Free Boundary
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9372-9
Abstract: We consider an inverse problem for an integro-differential parabolic equation with free boundary. This inverse problem aims to identify the memory kernel function from a global measurement data. Based on a fixed point argument, we… read more here.
Keywords: parabolic equation; integro differential; differential parabolic; memory kernel ... See more keywords
Molecular Origin of Driving-Dependent Friction in Fluids.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c00190
Abstract: The friction coefficient of fluids may become a function of the velocity at increased external driving. This non-Newtonian behavior is of general theoretical interest and of great practical importance, for example, for the design of… read more here.
Keywords: molecular origin; origin driving; friction; friction fluids ... See more keywords
Mittag–Leffler Memory Kernel in Lévy Flights
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DOI: 10.3390/math7090766
Abstract: In this article, we make a detailed study of some mathematical aspects associated with a generalized Lévy process using fractional diffusion equation with Mittag–Leffler kernel in the context of Atangana–Baleanu operator. The Lévy process has… read more here.
Keywords: kernel flights; leffler memory; mittag leffler; process ... See more keywords