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Published in 2019 at "Mathematical Methods in the Applied Sciences"
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…
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Keywords:
liouville equation;
fractional sturm;
sturm liouville;
conformable fractional ... See more keywords
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Published in 2019 at "Mathematical Methods in the Applied Sciences"
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…
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Keywords:
fractional sturm;
sturm liouville;
liouville coulomb;
operator ... See more keywords
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Published in 2018 at "Complex Analysis and Operator Theory"
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…
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Keywords:
sturm liouville;
liouville equations;
sturm;
fractional sturm ... See more keywords
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Published in 2019 at "Fractional Calculus and Applied Analysis"
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…
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Keywords:
sturm liouville;
asymptotics fractional;
fractional sturm;
problem ... See more keywords
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Published in 2022 at "Entropy"
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…
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Keywords:
fractional sturm;
problem;
sturm liouville;
liouville problem ... See more keywords