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Extremal solutions for p ‐Laplacian boundary value problems with the right‐handed Riemann‐Liouville fractional derivative
Author(s) -
Xue Tingting,
Liu Wenbin,
Shen Tengfei
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5660
Subject(s) - mathematics , uniqueness , monotone polygon , boundary value problem , mathematical analysis , fixed point theorem , derivative (finance) , fractional calculus , pure mathematics , geometry , financial economics , economics
The paper is concerned with the solvability for several nonlinear boundary value problems of fractional p ‐Laplacian differential equation involving the right‐handed Riemann‐Liouville derivative. By applying monotone iterative technique, lower and upper solutions method and the Banach fixed point theorem, sufficient conditions for existence and uniqueness of extremal solutions are obtained and they extend existing results. At last, two examples are provided to illustrate the results.