The Positive Solutions for Integral Boundary Value Problem of Fractional p-Laplacian Equation with Mixed Derivatives

作者：Liu, Xiping^*; Jia, Mei

来源：Mediterranean Journal of Mathematics, 2017, 14(2): 94.

DOI：10.1007/s00009-017-0895-9

• Fractional p-Laplacian equation
• integral boundary value problem
• positive solution
• mixed derivatives
• fixed point theorem

In this paper, we consider a class of integral boundary value problems of fractional p-Laplacian equation, which involve both Riemann-Liouville fractional derivative and Caputo fractional derivative. By using the generalization of Leggett-Williams fixed point theorem, some new results on the existence of at least three positive solutions to the boundary value problems are obtained. Finally, some examples are presented to illustrate the extensive potential applications of our main results.

• 出版日期2017-4
• 单位上海理工大学