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Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems

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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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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, 2021, doi:10.1080/17476933.2020.1825393.
APA
Kassymov, A., Kirane, M., & Torebek, B. (2021). Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. https://doi.org/10.1080/17476933.2020.1825393
Chicago author-date
Kassymov, Aidyn, Mokhtar Kirane, and Berikbol Torebek. 2021. “Lyapunov, Hartman-Wintner and De La Vallée Poussin-Type Inequalities for Fractional Elliptic Boundary Value Problems.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. https://doi.org/10.1080/17476933.2020.1825393.
Chicago author-date (all authors)
Kassymov, Aidyn, Mokhtar Kirane, and Berikbol Torebek. 2021. “Lyapunov, Hartman-Wintner and De La Vallée Poussin-Type Inequalities for Fractional Elliptic Boundary Value Problems.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 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. 2021;
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, 2021.
@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}},
  pages        = {{13}},
  title        = {{Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems}},
  url          = {{http://dx.doi.org/10.1080/17476933.2020.1825393}},
  year         = {{2021}},
}

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