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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Universidad Católica del Norte, Departamento de Matemáticas
2020
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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 |
_version_ |
1718439888379969536 |