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

Rok, strany: 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.

ISO 690:

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

APA:

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

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava