About a composite fractional relaxation equation via regularized families

A. Aparcana; C. Cuevas; H. Soto

doi:10.24200/sci.2017.4319

About a composite fractional relaxation equation via regularized families

A. Aparcana
, C. Cuevas
, H. Soto

Universidade Federal de Pernambuco
Universidad de la Frontera

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

Abstract

This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation equations. Some difficulties arise when the effect of different kinds of nonhomogeneous terms is taken into consideration. To overcome these, we use methods resulting from regularized families and fixed point techniques, which are an important tool to study nonlinear phenomena. We can cover a large class of nonlinearities.

Original language	English
Pages (from-to)	329-338
Number of pages	10
Journal	Scientia Iranica
Volume	25
Issue number	1
DOIs	https://doi.org/10.24200/sci.2017.4319
State	Published - 1 Jan 2018
Externally published	Yes

Keywords

Asymptotic periodicity
Compact sets of solutions
Composite fractional relaxation equation
Mild solutions

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10.24200/sci.2017.4319

Cite this

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AU - Cuevas, C.

AU - Soto, H.

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N2 - This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation equations. Some difficulties arise when the effect of different kinds of nonhomogeneous terms is taken into consideration. To overcome these, we use methods resulting from regularized families and fixed point techniques, which are an important tool to study nonlinear phenomena. We can cover a large class of nonlinearities.

AB - This work deals with asymptotic periodicity and compactness for a class of composite fractional relaxation equations. Some difficulties arise when the effect of different kinds of nonhomogeneous terms is taken into consideration. To overcome these, we use methods resulting from regularized families and fixed point techniques, which are an important tool to study nonlinear phenomena. We can cover a large class of nonlinearities.

KW - Asymptotic periodicity

KW - Compact sets of solutions

KW - Composite fractional relaxation equation

KW - Mild solutions

UR - https://www.scopus.com/pages/publications/85042638307

U2 - 10.24200/sci.2017.4319

DO - 10.24200/sci.2017.4319

M3 - Artículo

AN - SCOPUS:85042638307

SN - 1026-3098

VL - 25

SP - 329

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JO - Scientia Iranica

JF - Scientia Iranica

IS - 1

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About a composite fractional relaxation equation via regularized families

Abstract

Keywords

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