One method for the boundary value problem eigenvalues calcuating for a second-order differential equation with a fractional derivative-Reference-Cited by-同舟云学术

One method for the boundary value problem eigenvalues calcuating for a second-order differential equation with a fractional derivative

Published:2019-02 Issue:01 Volume:10 Page:1941004
ISSN:1793-9623
Container-title:International Journal of Modeling, Simulation, and Scientific Computing
language:en
Short-container-title:Int. J. Model. Simul. Sci. Comput.

Author:

Aleroev Temirkhan¹,Aleroeva Hedi²,Kirianova Lyudmila¹

Affiliation:

1. Department of Applied Mathematics, NRU MGSU, Yaroslavskoe Boulevard, 26, Moscow, Russia

2. Department of Information Technologies Moscow, Technical University of communication and informatics, Aviamotornaya street, 8A, Moscow, Russia

Abstract

In this paper, we give a formula for computing the eigenvalues of the Dirichlet problem for a differential equation of second-order with fractional derivatives in the lower terms. We obtained this formula using the perturbation theory for linear operators. Using this formula we can write out the system of eigenvalues for the problem under consideration.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793962319410046

Reference4 articles.

1. Perturbation Theory for Linear Operators

2. On the eigenfunctions and eigenvalues of a class of non-selfadjoint operators

3. Erratum to: “On the Eigenfunctions and Eigenvalues of a Class of Non-Selfadjoint Operators”

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Research on Percentage Prediction of Wordle Results Based on Weighted CLR-XGBoost;2023 IEEE International Conference on Image Processing and Computer Applications (ICIPCA);2023-08-11

2. Wordle Result Prediction Based on XGBoost;2023 IEEE International Conference on Image Processing and Computer Applications (ICIPCA);2023-08-11

3. Differential Equations with Fractional Derivatives for Studying an Oscillator with Viscoelastic Damping;Lecture Notes in Civil Engineering;2021-11-09