Open AccessOn solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative
Author(s) -
Xiaoping Li,
Dexin Chen
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021792
Subject(s) - mathematics , laplace transform , fractional calculus , boundary value problem , derivative (finance) , value (mathematics) , laplace operator , boundary values , mathematical analysis , fixed point theorem , p laplacian , pure mathematics , statistics , financial economics , economics
The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.