Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with $p$-Laplacian operator

Year, pages: 2020, 107 - 124

This paper is concerned with the existence and nonexistence of positive solutions for the eigenvalue problems of nonlinear Hadamard fractional differential equations with $p$-Laplacian operator. By applying the properties of the Green function and Guo-Krasnosel'skii fixed point theorem on cones, some existence and nonexistence results of positive solutions are obtained based on different eigenvalue intervals. Finally, some examples are presented to demonstrate the feasibility of our main results.

Yang, W. 2020. Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with $p$-Laplacian operator. In Mathematica Slovaca, vol. 70, no.1, pp. 107-124. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0336

Yang, W. (2020). Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with $p$-Laplacian operator. Mathematica Slovaca, 70(1), 107-124. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0336

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava