Results 21 to 30 of about 13,711 (154)

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus

Fractal and Fractional, 2020
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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Synthesis of Ocean Observations Using Data Assimilation for Operational, Real-Time and Reanalysis Systems: A More Complete Picture of the State of the Ocean

Frontiers in Marine Science, 2019
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, Matthew J. Martin, Santha Akella, Hernan G. Arango, Magdalena Balmaseda, Laurent Bertino, Stefano Ciavatta, Bruce Cornuelle, Jim Cummings, Sergey Frolov, Pierre Lermusiaux, Paolo Oddo, Peter R. Oke, Andrea Storto, Anna Teruzzi, Arthur Vidard, Anthony T. Weaver   +16 more
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Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians

Open Mathematics, 2020
We consider the classical functional of the Calculus of Variations of the ...
Mariconda Carlo, Treu Giulia
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Optimal Feed Rate Control of Escherichia coli Fed-batch Fermentation [PDF]

Bioautomation, 2005
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  

Editorial for the Special Issue of Axioms “Calculus of Variations, Optimal Control and Mathematical Biology: A Themed Issue Dedicated to Professor Delfim F. M. Torres on the Occasion of His 50th Birthday”

Axioms, 2023
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, Ricardo Almeida, Cristiana J. Silva, Moulay Rchid Sidi Ammi   +3 more
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Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels

Mathematics, 2021
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, Ricardo Almeida, Natália Martins   +2 more
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Some Regularity Properties on Bolza problems in the Calculus of Variations

Comptes Rendus. Mathématique, 2022
The paper summarizes the main core of the last results that we obtained in [8, 4, 17] on the regularity of the value function for a Bolza problem of a one-dimensional, vectorial problem of the calculus of variations. We are concerned with a nonautonomous
Bernis, Julien, Bettiol, Piernicola, Mariconda, Carlo   +2 more
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Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

Axioms, 2022
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres, Noura Yousfi   +3 more
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Elements of fuzzy variations calculus

RUDN Journal of Engineering Research, 2010
The fuzzy numbers, functions, functionals are considered. The fuzzy variational problem for fuzzy functionals with fixed boundaries is defined. An example of solution of Euler equation is given.
J E Asmolova, I A Mochalov
doaj  

Diffeomorphism Invariant Minimization of Functionals with Nonuniform Coercivity

Mathematics
We consider the minimization of a functional of the calculus of variations, under assumptions that are diffeomorphism invariant. In particular, a nonuniform coercivity condition needs to be considered.
Marco Degiovanni, Marco Marzocchi
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