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Conformable fractional Sturm‐Liouville equation

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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… Click to show full 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 of this problem, and we give the eigenfunction expansions. Finally, we will give some examples.

Keywords: liouville equation; fractional sturm; sturm liouville; conformable fractional

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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