Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations

Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations

Abstract We prove the existence and uniqueness of a positive solution of nonlinear Caputo-Hadamard fractional differential equations. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive s...

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Autor principal: Ardjouni,Abdelouaheb
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:
Fractional differential equations
Positive solutions
Upper and lower solutions
Existence
Uniqueness
Fixed point theorems
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100139
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spelling oai:scielo:S0716-091720210001001392021-01-26Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equationsArdjouni,Abdelouaheb Fractional differential equations Positive solutions Upper and lower solutions Existence Uniqueness Fixed point theorems Abstract We prove the existence and uniqueness of a positive solution of nonlinear Caputo-Hadamard fractional differential equations. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive solution. Finally, an example is given to illustrate our results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.1 20212021-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100139en10.22199/issn.0717-6279-2021-01-0009
institution Scielo Chile
collection Scielo Chile
language English
topic Fractional differential equations
Positive solutions
Upper and lower solutions
Existence
Uniqueness
Fixed point theorems
spellingShingle Fractional differential equations
Positive solutions
Upper and lower solutions
Existence
Uniqueness
Fixed point theorems
Ardjouni,Abdelouaheb
Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
description Abstract We prove the existence and uniqueness of a positive solution of nonlinear Caputo-Hadamard fractional differential equations. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive solution. Finally, an example is given to illustrate our results.
author Ardjouni,Abdelouaheb
author_facet Ardjouni,Abdelouaheb
author_sort Ardjouni,Abdelouaheb
title Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
title_short Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
title_full Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
title_fullStr Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
title_full_unstemmed Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations
title_sort existence and uniqueness of positive solutions for nonlinear caputo-hadamard fractional differential equations
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100139
work_keys_str_mv AT ardjouniabdelouaheb existenceanduniquenessofpositivesolutionsfornonlinearcaputohadamardfractionaldifferentialequations
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