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

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1256-1280
Number of pages	25
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	3
DOIs	https://doi.org/10.1002/mma.4662
State	Published - 1 Feb 2018
Externally published	Yes

Keywords

L-bounded solutions
compact sets of solutions
fractional differential equations
integral equations in abstract spaces
mild solutions

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10.1002/mma.4662

Cite this

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author = "Aldryn Aparcana and Claudio Cuevas and Hern{\'a}n Henr{\'i}quez and Herme Soto",

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AU - Henríquez, Hernán

AU - Soto, Herme

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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

UR - https://www.scopus.com/pages/publications/85034219304

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Fractional evolution equations and applications

Abstract

Keywords

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