Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.

Bibliographic Details
Main Authors: Abbas Saïd, Agarwal Ravi P., Benchohra Mouffak, Berhoun Farida
Format: Article
Language:English
Published: De Gruyter 2018-05-01
Series:Demonstratio Mathematica
Subjects:
functional integral equation
Hadamard integral of fractional order
solution
attractivity
Fréchet space
fixed point
Primary 26A33
Secondary 45G05
45M10
Online Access:http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0009/dema-2018-0009.xml?format=INT
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spelling doaj-327271d0a9784e0da452a2a189eeb3bf2020-11-24T23:55:37ZengDe GruyterDemonstratio Mathematica2391-46612018-05-0151113114010.1515/dema-2018-0009dema-2018-0009Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spacesAbbas Saïd0Agarwal Ravi P.1Benchohra Mouffak2Berhoun Farida3Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of Saïda, P.O. Box 138, EN-Nasr, 20000 Saïda, AlgeriaDepartment of Mathematics, Texas A&M University-Kingsville, Kingsville, 78363, USALaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbes 22000, AlgeriaLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbes 22000, AlgeriaIn this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0009/dema-2018-0009.xml?format=INTfunctional integral equationHadamard integral of fractional ordersolutionattractivityFréchet spacefixed pointPrimary 26A33Secondary 45G0545M10
collection DOAJ
language English
format Article
sources DOAJ
author Abbas Saïd
Agarwal Ravi P.
Benchohra Mouffak
Berhoun Farida
spellingShingle Abbas Saïd
Agarwal Ravi P.
Benchohra Mouffak
Berhoun Farida
Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
Demonstratio Mathematica
functional integral equation
Hadamard integral of fractional order
solution
attractivity
Fréchet space
fixed point
Primary 26A33
Secondary 45G05
45M10
author_facet Abbas Saïd
Agarwal Ravi P.
Benchohra Mouffak
Berhoun Farida
author_sort Abbas Saïd
title Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
title_short Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
title_full Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
title_fullStr Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
title_full_unstemmed Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces
title_sort global attractivity for volterra type hadamard fractional integral equations in fréchet spaces
publisher De Gruyter
series Demonstratio Mathematica
issn 2391-4661
publishDate 2018-05-01
description In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.
topic functional integral equation
Hadamard integral of fractional order
solution
attractivity
Fréchet space
fixed point
Primary 26A33
Secondary 45G05
45M10
url http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0009/dema-2018-0009.xml?format=INT
work_keys_str_mv AT abbassaid globalattractivityforvolterratypehadamardfractionalintegralequationsinfrechetspaces
AT agarwalravip globalattractivityforvolterratypehadamardfractionalintegralequationsinfrechetspaces
AT benchohramouffak globalattractivityforvolterratypehadamardfractionalintegralequationsinfrechetspaces
AT berhounfarida globalattractivityforvolterratypehadamardfractionalintegralequationsinfrechetspaces
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