Fractional evolution equations and applications

Aldryn Aparcana; Claudio Cuevas; Hernán Henríquez; Herme Soto

doi:10.1002/mma.4662

Fractional evolution equations and applications

Aldryn Aparcana
, Claudio Cuevas
, Hernán Henríquez
, Herme Soto

Universidade Federal de Pernambuco
Universidad de Santiago de Chile
Universidad de la Frontera

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

This work addresses the study of the L^p-boundedness and compactness of abstract linear and nonlinear fractional integro-differential equations. The analysis is performed for the whole range of values of p, ie, 1≤p≤+∞In addition, theoretical results are complemented with illustrating particular cases of systems modeled by fractional evolution equations as heat conduction problems and problems arising in the theory of viscoelastic materials.

Idioma original	Inglés
Páginas (desde-hasta)	1256-1280
Número de páginas	25
Publicación	Mathematical Methods in the Applied Sciences
Volumen	41
N.º	3
DOI	https://doi.org/10.1002/mma.4662
Estado	Publicada - 1 feb. 2018
Publicado de forma externa	Sí

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abstract = "This work addresses the study of the Lp-boundedness and compactness of abstract linear and nonlinear fractional integro-differential equations. The analysis is performed for the whole range of values of p, ie, 1≤p≤+∞In addition, theoretical results are complemented with illustrating particular cases of systems modeled by fractional evolution equations as heat conduction problems and problems arising in the theory of viscoelastic materials.",

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AU - Cuevas, Claudio

AU - Henríquez, Hernán

AU - Soto, Herme

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Y1 - 2018/2/1

N2 - This work addresses the study of the Lp-boundedness and compactness of abstract linear and nonlinear fractional integro-differential equations. The analysis is performed for the whole range of values of p, ie, 1≤p≤+∞In addition, theoretical results are complemented with illustrating particular cases of systems modeled by fractional evolution equations as heat conduction problems and problems arising in the theory of viscoelastic materials.

AB - This work addresses the study of the Lp-boundedness and compactness of abstract linear and nonlinear fractional integro-differential equations. The analysis is performed for the whole range of values of p, ie, 1≤p≤+∞In addition, theoretical results are complemented with illustrating particular cases of systems modeled by fractional evolution equations as heat conduction problems and problems arising in the theory of viscoelastic materials.

KW - L-bounded solutions

KW - compact sets of solutions

KW - fractional differential equations

KW - integral equations in abstract spaces

KW - mild solutions

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Fractional evolution equations and applications

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