Fractional analogue of Sturm–Liouville operator
Copyright policy )Fractional analogue of Sturm–Liouville operator
In this paper we study a symmetric fractional differential operator of order 2\alpha , (1/2<\alpha<1) . Using the extension theory a class of self-adjoint problems generated by the fractional Sturm–Liouville equation is described.
fractional Sturm-Liouville operator, Fractional derivatives and integrals, boundary value problem, self-adjoint operator, fractional differential equation, Caputo operator, symmetric operator, boundary condition, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Riemann-Liouville operator
fractional Sturm-Liouville operator, Fractional derivatives and integrals, boundary value problem, self-adjoint operator, fractional differential equation, Caputo operator, symmetric operator, boundary condition, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Riemann-Liouville operator
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