On the method for calculating the trace formulas of the fractional Sturm-Liouville operator
Year: 2025
Type: conference-paper
Abstract: The trace formulas of linear differential operators deeply reveal the structure of the spectrum of differential operators and have important applications in the numerical calculation of eigenvalues, the theory of inverse problems, and the theory of solitons. For the first time in work [1], a regularized trace for the Sturm-Liouville operator is calculated. This result was generalized by many authors, and methods were developed for generalizing this formula to the case of other operators [2-4]. The trace formulas for the conformable fractional Sturm-Liouville problem was studied in [5].
Author: Fayzullayev Bexzod Shuhrat ogʻli
Institution: Urgench State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7091283187
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