Multiple solutions of nonlinear fractional differential equations with $p$-Laplacian operator and nonlinear boundary conditions

Year, pages: 2015, 79 - 92

In this paper, we deal with multiple solutions of fractional differential equations with $p$-Laplacian operator and nonlinear boundary conditions. By applying the Amann theorem and the method of upper and lower solutions, we obtain some new results on the multiple solutions. An example is given to illustrate our results.

Liu, Y., Lu, L. 2015. Multiple solutions of nonlinear fractional differential equations with $p$-Laplacian operator and nonlinear boundary conditions. In Mathematica Slovaca, vol. 65, no.1, pp. 79-92. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0008

Liu, Y., Lu, L. (2015). Multiple solutions of nonlinear fractional differential equations with $p$-Laplacian operator and nonlinear boundary conditions. Mathematica Slovaca, 65(1), 79-92. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0008