Solutions to two-point boundary value problems of fractional $p$-Laplacian systems
KONG Xiang-shan1, LI Hai-tao2
1. Basic Science Department, Qingdao Binhai University, Qingdao 266555, China
2. School of Control Science and Engineering, Shandong University, Jinan 250061, China
Abstract Using the Schaefer fixed point theorem, the existence of solutions to two-point boundary value problems of fractional p-Laplacian systems is studied. Under certain growth conditions of the nonlinearity, a sufficient condition is obtained for the existence of at least one solution by converting the system into an operator equation. Finally, the application of the obtained results is illustrated.
KONG Xiang-shan, LI Hai-tao. Solutions to two-point boundary value problems of fractional $p$-Laplacian systems. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 341-353.
