Spectral Expansion for Conformable Fractional Sturm- Liouville Problem on the Whole Line


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Authors: B. ALLAHVERDIEV, H. TUNA AND Y. YALçINKAYA

DOI: 10.46793/KgJMat2406.811A

Abstract:

In this article, we discuss a conformable fractional Sturm-Liouville boundary-value problem on the whole line. We prove the existence of a spectral function for the singular conformable fractional Sturm-Lioville problem. Further, we establish a Parseval equality and spectral expansion formula by terms of the spectral function for conformable fractional Sturm-Liouville problem on the whole line.



Keywords:

Singular conformable fractional Sturm-Liouville equation, spectral function, Parseval equality, spectral expansion.



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