
Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems
- Author
- Aidyn Kassymov (UGent) , Mokhtar Kirane and Berikbol Torebek (UGent)
- Organization
- Abstract
- In this paper, we show Lyapunov and Hartman-Wintner-type inequalities for a fractional partial differential equations with Dirichlet conditions and we give some applications of these inequalities for the eigenvalue problem. Also, we give de La Vallee Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.
- Keywords
- Applied Mathematics, Analysis, Numerical Analysis, Computational Mathematics, Lyapunov-type inequality, De La Vallee Poussin-type inequality, Caputo derivative, fractional order differential equation, EQUATION
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8713193
- MLA
- Kassymov, Aidyn, et al. “Lyapunov, Hartman-Wintner and De La Vallée Poussin-Type Inequalities for Fractional Elliptic Boundary Value Problems.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 1, 2022, pp. 246–58, doi:10.1080/17476933.2020.1825393.
- APA
- Kassymov, A., Kirane, M., & Torebek, B. (2022). Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 67(1), 246–258. https://doi.org/10.1080/17476933.2020.1825393
- Chicago author-date
- Kassymov, Aidyn, Mokhtar Kirane, and Berikbol Torebek. 2022. “Lyapunov, Hartman-Wintner and De La Vallée Poussin-Type Inequalities for Fractional Elliptic Boundary Value Problems.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (1): 246–58. https://doi.org/10.1080/17476933.2020.1825393.
- Chicago author-date (all authors)
- Kassymov, Aidyn, Mokhtar Kirane, and Berikbol Torebek. 2022. “Lyapunov, Hartman-Wintner and De La Vallée Poussin-Type Inequalities for Fractional Elliptic Boundary Value Problems.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 67 (1): 246–258. doi:10.1080/17476933.2020.1825393.
- Vancouver
- 1.Kassymov A, Kirane M, Torebek B. Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2022;67(1):246–58.
- IEEE
- [1]A. Kassymov, M. Kirane, and B. Torebek, “Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 67, no. 1, pp. 246–258, 2022.
@article{8713193, abstract = {{In this paper, we show Lyapunov and Hartman-Wintner-type inequalities for a fractional partial differential equations with Dirichlet conditions and we give some applications of these inequalities for the eigenvalue problem. Also, we give de La Vallee Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.}}, author = {{Kassymov, Aidyn and Kirane, Mokhtar and Torebek, Berikbol}}, issn = {{1747-6933}}, journal = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}}, keywords = {{Applied Mathematics,Analysis,Numerical Analysis,Computational Mathematics,Lyapunov-type inequality,De La Vallee Poussin-type inequality,Caputo derivative,fractional order differential equation,EQUATION}}, language = {{eng}}, number = {{1}}, pages = {{246--258}}, title = {{Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems}}, url = {{http://doi.org/10.1080/17476933.2020.1825393}}, volume = {{67}}, year = {{2022}}, }
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