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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Detalles Bibliográficos
Autores: Subramanian,Muthaiah, Nandha Gopal,Thangaraj
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Chile
Institución:CONICYT Chile
Repositorio:SciELO Chile
OAI Identifier:oai:scielo:S0716-09172020000601555
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000601555
Access Level:acceso abierto
Palabra clave:Caputo-Hadamard fractional derivative
Fractional differential equation
Hadamard fractional derivative
Hadamard fractional integral
Multi-point conditions
Existence
Fixed point.
Descripción
Sumario: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.