On Lyapunov-type inequalities for a certain class of partial differential equations
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DOI: 10.1080/00036811.2018.1484909
Abstract: ABSTRACT A Lyapunov-type inequality is established for the partial differential equation: where , , a read more here.
Keywords: lyapunov type; partial differential; inequalities certain; class partial ... See more keywords
Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative
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DOI: 10.1186/s13660-018-1850-4
Abstract: AbstractA Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0,a read more here.
Keywords: lyapunov type; anti periodic; periodic fractional; boundary value ... See more keywords
Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems
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DOI: 10.1186/s13660-020-02431-8
Abstract: In this paper, we consider some types of scalar equations and systems of generalized one-dimensional Minkowski-curvature problems. Using an inequality technique, we establish several new Lyapunov-type inequalities for the problems considered. Our results extend the… read more here.
Keywords: lyapunov type; minkowski curvature; generalized one; one dimensional ... See more keywords
A New Proof for Lyapunov-Type Inequality on the Fractional Boundary Value Problem
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DOI: 10.3390/sym13010029
Abstract: In this article, some new Lyapunov-type inequalities for a class of fractional boundary value problems are established by use of the nonsymmetry property of Green’s function corresponding to appropriate boundary conditions. read more here.
Keywords: lyapunov type; boundary value; fractional boundary;
Refinement of a Lyapunov-Type Inequality for a Fractional Differential Equation
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DOI: 10.3390/sym16080941
Abstract: In this paper, we focus on a fractional differential equation 0CDαu(t)+q(t)u(t)=0 with boundary value conditions u(0)=δu(1),u′(0)=γu′(1). The paper begins by pointing out the inadequacies of the study conducted by Ma and Yangin establishing Lyapunov-type inequalities.… read more here.
Keywords: fractional differential; differential equation; type; type inequality ... See more keywords
On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative
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DOI: 10.3906/mat-1905-118
Abstract: In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of $\beta \in 1,2]$ and Dirichlet-type boundary condition when the… read more here.
Keywords: lyapunov type; value; fractional caputo; boundary value ... See more keywords
A Lyapunov Type Inequality for a Class of Fractional Boundary Value Problems with Riemann-Liouville Derivative
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DOI: 10.46793/kgjmat2603.347s
Abstract: In this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0,α − 1). The study is… read more here.
Keywords: class fractional; value; type inequality; fractional boundary ... See more keywords
A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative
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DOI: 10.7153/jmi-2018-12-77
Abstract: In this work we obtain a Lyapunov-type inequality for a fractional differential equation with Caputo-Fabrizio operator subject to Dirichlet-type boundary conditions. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.… read more here.
Keywords: lyapunov type; caputo fabrizio; type inequality; inequality fractional ... See more keywords
Lyapunov-type inequalities for certain higher-order half-linear differential equations
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DOI: 10.7153/jmi-2019-13-82
Abstract: In this paper, we will establish some new Lyapunov-type inequalities for some higherorder half-linear differential equations with anti-periodic boundary conditions. Our results not only improve the results in [9] for some cases, but also extend… read more here.
Keywords: lyapunov type; linear differential; half linear; differential equations ... See more keywords
Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
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DOI: 10.7494/opmath.2018.38.1.31
Abstract: We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained. read more here.
Keywords: lyapunov type; positive solutions; discrete fractional; existence positive ... See more keywords