Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
Fractional Calculus and Applied Analysis, 2014 In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function [PDF]
, 2013 In this paper, by using the similar methods of [O. Sh. Mukhtarov and M. Kadakal, Some spectral properties of one Sturm-Liouville type problem with discontinuous weight, Siberian Mathematical Journal, 46 (2005) 681-694] we extend some spectral properties ...
Şen, Erdoğan
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Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this paper, we consider the discrete Sturm-Liouville operator generated by second order difference equation with non-selfadjoint operator coefficient.
Esra Kır Arpat, Gökhan Mutlu
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Quantum Sturm-Liouville Equation, Quantum Resolvent, Quantum Integrals, and Quantum KdV : the Fast Decrease Case [PDF]
, 1995 We construct quantum operators solving the quantum versions of the Sturm-Liouville equation and the resolvent equation, and show the existence of conserved currents. The construction depends on the following input data: the basic quantum field $O(k)$ and
A. B. Zamolodchikov +8 more
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On a fractional hybrid version of the Sturm–Liouville equation
Advances in Difference Equations, 2020 It is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation.
Zohreh Zeinalabedini Charandabi +2 more
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The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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A note on the dependence of solutions on functional parameters for nonlinear sturm-liouville problems [PDF]
, 2014 We deal with the existence and the continuous dependence of solutions on functional parameters for boundary valued problems containing the Sturm-Liouville equation.
Orpel, Aleksandra
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Elastic Stars in General Relativity: II. Radial perturbations [PDF]
, 2003 We study radial perturbations of general relativistic stars with elastic matter sources. We find that these perturbations are governed by a second order differential equation which, along with the boundary conditions, defines a Sturm-Liouville type ...
Andersson K G +23 more
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On strong singular fractional version of the Sturm–Liouville equation
Boundary Value Problems, 2021 The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is
Mehdi Shabibi +3 more
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