Turkish Journal of Mathematics and Computer Science

Yazarlar: Bilender PAŞAOĞLU ALLAHVERDİEV, Hüseyin TUNA, Yüksel YALÇINKAYA

Konular:Matematik

DOI:10.47000/tjmcs.823775

Anahtar Kelimeler:Dissipative extansions,Self adjoint extansion,A boundary value space,Boundary condition

Özet: In this work, we consider singular conformable fractional Sturm-Liouville operators defined by the expression \[ \varrho (y)=-T_{\alpha }^{2}y(t)+\frac{\xi ^{2}-\frac{1}{4}}{t^{2}}y(t)+% p(t)y(t),\ \] where $0 < t < \infty ,\ \xi \geq1~$and$\ p(.)\ $is real-valued functions defined on $[0,\infty )$ and satisfy the condition$\ p\left( .\right) \in L_{\alpha, loc}^{1}(0,\infty )$. We construct a space of boundary values for minimal symmetric singular conformable fractional Sturm-Liouville operators in limit-circle case at singular end point. Finally, we give a description of all maximal dissipative, accumulative and self-adjoint extensions of conformable fractional Sturm-Liouville operators with the help of boundary conditions.

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