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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Notions of affinity in calculus of variations with differential forms [PDF]
Ext-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other.
Bandyopadhyay, Saugata, Sil, Swarnendu
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Ocean data assimilation is increasingly recognized as crucial for the accuracy of real-time ocean prediction systems and historical re-analyses. The current status of ocean data assimilation in support of the operational demands of analysis, forecasting ...
Andrew M. Moore +16 more
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Optimal Feed Rate Control of Escherichia coli Fed-batch Fermentation [PDF]
In this paper an optimal control algorithm for E. coli fed-batch fermentation has been developed. A simple material balance model is used to describe the E. coli fermentation process.
Olympia Roeva, Stoyan Tzonkov
doaj
Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians
We consider the classical functional of the Calculus of Variations of the ...
Mariconda Carlo, Treu Giulia
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This publication is an editorial for the Special Issue of Axioms “Calculus of Variations, Optimal Control and Mathematical Biology: A Themed Issue Dedicated to Professor Delfim F [...]
Natália Martins +3 more
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Metric Methods in Calculus of Variations [PDF]
1. In each problem of calculus of variations there are four fundamental data: (I) A point-space S or a domain of a point-space. (II) A function φ from which there is derived a functional in a class P of entities of S whose dimensions are ≧ 1. With each element C of & there is associated a number, say λ>φ,(C), by a process of integration of ϕ along C ...
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In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator.
Fátima Cruz +2 more
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Calculus of Variations: Nature's Parsimonious Self-Computation [PDF]
In addition to being intrinsically interesting, calculus of variations constitutes an area that has been extensively considered in both theoretic and applied areas, underlying a large number of structures and phenomena, including the stationary action ...
da Fontoura Costa, Luciano
core
Theorem of Lindeberg in the calculus of variations [PDF]
Not ...
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