Fractional Beta Sturm-Liouville equation

Document Type : Research Articles

Authors

1 Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan

2 Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

3 Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey

Abstract

In this study, beta-derived Sturm–Liouville problems are discussed. First, the existence and uniqueness problem for such equations is discussed. Then, self-adjointness is obtained with the help of boundary conditions. Eigenfunction expansion was obtained with the help of characteristic determinants and Green’s function. Finally, an example is given showing the theoretical results obtained.

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