Conformable fractional Sturm‐Liouville equation
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DOI: 10.1002/mma.5595
Abstract: In this article, we discuss a conformable fractional Sturm‐Liouville boundary‐value problem. We prove an existence and uniqueness theorem for this equation and formulate a self‐adjoint boundary value problem. We also construct the associated Green function… read more here.
Keywords: liouville equation; fractional sturm; sturm liouville; conformable fractional ... See more keywords
β−type fractional Sturm‐Liouville Coulomb operator and applied results
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DOI: 10.1002/mma.5769
Abstract: In this article, β‐type fractional Sturm‐Liouville Coulomb operator is considered by Hilfer fractional derivative. Fundamental spectral theory is investigated for the aforementioned problem. In this context, it is shown that the operator is self‐adjoint, eigenfunctions… read more here.
Keywords: fractional sturm; sturm liouville; liouville coulomb; operator ... See more keywords
Fractional Sturm–Liouville Equations: Self-Adjoint Extensions
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DOI: 10.1007/s11785-018-0828-z
Abstract: In this report we study a fractional analogue of Sturm–Liouville equation. A class of self-adjoint fractional Sturm–Liouville operators is described. We give a biological interpretation of the fractional order equation and nonlocal boundary conditions that… read more here.
Keywords: sturm liouville; liouville equations; sturm; fractional sturm ... See more keywords
Sharp asymptotics in a fractional Sturm-Liouville problem
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DOI: 10.1515/fca-2021-0031
Abstract: Abstract The current research of fractional Sturm-Liouville boundary value problems focuses on the qualitative theory and numerical methods, and much progress has been recently achieved in both directions. The objective of this paper is to… read more here.
Keywords: sturm liouville; asymptotics fractional; fractional sturm; problem ... See more keywords
Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions
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DOI: 10.3390/e24020143
Abstract: In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space. Next, we discretize the integral fractional… read more here.
Keywords: fractional sturm; problem; sturm liouville; liouville problem ... See more keywords