Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative

Abstract We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results of existence and uniqueness are obtained with the use of fixed point theorems for single-valued maps. With the help of ex...

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Autores principales: Subramanian,Muthaiah, Nandha Gopal,Thangaraj
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601555
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spelling oai:scielo:S0716-091720200006015552020-12-02Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivativeSubramanian,MuthaiahNandha Gopal,Thangaraj Caputo-Hadamard fractional derivative Fractional differential equation Hadamard fractional derivative Hadamard fractional integral Multi-point conditions Existence Fixed point. Abstract We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results of existence and uniqueness are obtained with the use of fixed point theorems for single-valued maps. With the help of examples, the results are well illustrated.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.6 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601555en10.22199/issn.0717-6279-2020-06-0093
institution Scielo Chile
collection Scielo Chile
language English
topic Caputo-Hadamard fractional derivative
Fractional differential equation
Hadamard fractional derivative
Hadamard fractional integral
Multi-point conditions
Existence
Fixed point.
spellingShingle Caputo-Hadamard fractional derivative
Fractional differential equation
Hadamard fractional derivative
Hadamard fractional integral
Multi-point conditions
Existence
Fixed point.
Subramanian,Muthaiah
Nandha Gopal,Thangaraj
Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
description Abstract We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results of existence and uniqueness are obtained with the use of fixed point theorems for single-valued maps. With the help of examples, the results are well illustrated.
author Subramanian,Muthaiah
Nandha Gopal,Thangaraj
author_facet Subramanian,Muthaiah
Nandha Gopal,Thangaraj
author_sort Subramanian,Muthaiah
title Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
title_short Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
title_full Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
title_fullStr Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
title_full_unstemmed Analysis of Boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
title_sort analysis of boundary value problem with multi-point conditions involving caputo-hadamard fractional derivative
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601555
work_keys_str_mv AT subramanianmuthaiah analysisofboundaryvalueproblemwithmultipointconditionsinvolvingcaputohadamardfractionalderivative
AT nandhagopalthangaraj analysisofboundaryvalueproblemwithmultipointconditionsinvolvingcaputohadamardfractionalderivative
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