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Conformable fractional Sturm‐Liouville equation |
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| Authors: | Bilender P Allahverdiev Hüseyin Tuna Yüksel Yalinkaya |
| Institution: | Bilender P. Allahverdiev,Hüseyin Tuna,Yüksel Yalçinkaya |
| 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: | conformable fractional Sturm‐Liouville operator eigenfunction expansions eigenvalues and eigenfunctions Green's function self‐adjoint operator |