Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems
Kassymov A. Kirane M. Torebek B.T.
2022Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2022#67Issue 1246 - 258 pp.
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 Vallée Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.
35P15 , Caputo derivative , De La Vallée Poussin-type inequality , fractional order differential equation , Lyapunov-type inequality , Primary: 35R11 , Secondary: 26A33
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Department of Mathematics: Analysis Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
LaSIE, Faculté des Sciences, Pole Sciences et Technologies, Université de La Rochelle, La Rochelle Cedex, France
NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics: Analysis Logic and Discrete Mathematics
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
LaSIE
NAAM Research Group
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