Volume 6, Issue 4
Asymptotic Expression of Eigenvalues for a Class of Fractional Boundary Value Problems

Xilan Liu & Yirun Chen

J. Nonl. Mod. Anal., 6 (2024), pp. 1083-1090.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

Export citation
  • Abstract

Based on the properties of Mittag-Leffler function, the behavior of eigenvalue and the eigenfunction for a class of fractional differential equations with integral boundary value condition is discussed, and the asymptotic expression of the eigenfunction is given.

  • AMS Subject Headings

34A08, 34L20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-6-1083, author = {Liu , Xilan and Chen , Yirun}, title = {Asymptotic Expression of Eigenvalues for a Class of Fractional Boundary Value Problems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {1083--1090}, abstract = {

Based on the properties of Mittag-Leffler function, the behavior of eigenvalue and the eigenfunction for a class of fractional differential equations with integral boundary value condition is discussed, and the asymptotic expression of the eigenfunction is given.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1083}, url = {http://global-sci.org/intro/article_detail/jnma/23673.html} }
TY - JOUR T1 - Asymptotic Expression of Eigenvalues for a Class of Fractional Boundary Value Problems AU - Liu , Xilan AU - Chen , Yirun JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1083 EP - 1090 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1083 UR - https://global-sci.org/intro/article_detail/jnma/23673.html KW - Fractional differential equation, boundary value problem, eigenvalue, eigenfunction, asymptotic estimation. AB -

Based on the properties of Mittag-Leffler function, the behavior of eigenvalue and the eigenfunction for a class of fractional differential equations with integral boundary value condition is discussed, and the asymptotic expression of the eigenfunction is given.

Liu , Xilan and Chen , Yirun. (2024). Asymptotic Expression of Eigenvalues for a Class of Fractional Boundary Value Problems. Journal of Nonlinear Modeling and Analysis. 6 (4). 1083-1090. doi:10.12150/jnma.2024.1083
Copy to clipboard
The citation has been copied to your clipboard