Extremal solutions for p‐Laplacian boundary value problems with the right‐handed Riemann‐Liouville fractional derivative. (21st May 2019)

• Record Type: Journal Article
• Authors: Xue, Tingting; Liu, Wenbin; Shen, Tengfei
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 12(2019)
• Page Start: 4394
• Page End: 4407
• Publication Date: 2019-05-21
• Subjects: extremal solution -- lower and upper solutions -- monotone iterative technique -- p‐Laplacian operator -- right‐handed Riemann‐Liouville fractional derivatives; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5660
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.