Open AccessAnalysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative
Author(s) -
Muthaiah Subramanian,
Thangaraj Nandha Gopal
Publication year - 2020
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2020-06-0093
Subject(s) - hadamard transform , uniqueness , mathematics , boundary value problem , fixed point theorem , fractional calculus , mathematical analysis , type (biology) , value (mathematics) , point (geometry) , geometry , ecology , statistics , biology
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.