Year: 2024
Author: Le Zhou, Xiaoling Hao, Kun Li
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 775–792
Abstract
In this paper, we study discontinuous Sturm-Liouville problem with fractional Hilfer derivatives. By defining an operator $A$ in the Hilbert space $L_2[−1, 1],$ this research shows that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the constructed operator. Moreover, the characteristic function is also constructed such that the eigenvalues of the problem are coincide with the zeros of this function.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.775
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 775–792
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Sturm-Liouville problem Hilfer derivatives eigenparameter fractional boundary conditions fractional transmission conditions.