Conformable fractional Sturm‐Liouville equation
Copyright policy )Conformable fractional Sturm‐Liouville equation
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.
- Süleyman Şah University Turkey
- Mehmet Akif Ersoy University Turkey
conformable fractional Sturm-Liouville operator, self-adjoint operator, Fractional ordinary differential equations, Green's function, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Linear symmetric and selfadjoint operators (unbounded), Sturm-Liouville theory, Green's functions for ordinary differential equations, Spectrum, resolvent, eigenvalues and eigenfunctions, eigenfunction expansions
conformable fractional Sturm-Liouville operator, self-adjoint operator, Fractional ordinary differential equations, Green's function, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Linear symmetric and selfadjoint operators (unbounded), Sturm-Liouville theory, Green's functions for ordinary differential equations, Spectrum, resolvent, eigenvalues and eigenfunctions, eigenfunction expansions
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