Existence of solutions for a nonlocal boundary value problem of fractional differential equations with $p$-Laplacian operator
LU Liang1,2, GUO Xiu-feng1
1. College of Science, Hezhou University, Hezhou 542899, China
2. Guangxi Key Laboratories of Hybrid Computation and Integrated Circuit Design Analysis, Nanning 530006, China
Abstract By using the classical Schaefer's fixed point theorem, a class of nonlocal boundary value problems for nonlinear fractional differential equations with $p$-Laplacian operator are studied. Under some suitable assumptions, some new results on the existence of solutions are obtained. An example is given to show the applicability of the results.
LU Liang, GUO Xiu-feng. Existence of solutions for a nonlocal boundary value problem of fractional differential equations with $p$-Laplacian operator. Applied Mathematics A Journal of Chinese Universities, 2015, 30(3): 262-270.