Discontinuous Fractional Sturm-Liouville Problems with Hilfer Derivatives.

Autor: Le Zhou, Xiaoling Hao, Kun Li
Předmět:
Zdroj: Journal of Nonlinear Modeling & Analysis; 2024, Vol. 6 Issue 3, p775-792, 18p
Abstrakt: In this paper, we study discontinuous Sturm-Liouville problem with fractional Hilfer derivatives. By defining an operator A in the Hilbert space L2[-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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index