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THE SYMMETRY DESCRIPTION OF A CLASS OF FRACTIONAL STURM-LIOUVILLE OPERATOR
Shouyi Li,Zhaowen Zheng
(School of Mathematical Science, Qufu Normal University, Qufu 273165, Shandong, PR China)
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Abstract:
This paper studies the symmetry of a class of fractional Sturm-Liouville differential equations with right and left fractional derivatives. We give the Hermitian boundary condition description of this problem. Furthermore, the density of minimal operator is given. Then the symmetry of this problem is obtained.
Key words:  fractional differential operator; differential operator; Sturm-Liouville; density; symmetric operator