The Schrödinger equations generated by q-Bessel operator in quantum calculus
In this paper, we obtain exact solutions of a new modification of the Schrödinger equation related to the Bessel q-operator. The theorem is proved on the existence of this solution in the Sobolev-type space W^2_q(R^+_q) in the q-calculus. The results on correctness in the corresponding spac...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Academician Ye.A. Buketov Karaganda University
2022-03-01
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Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
Online Access: | https://mathematics-vestnik.ksu.kz/apart/2022-105-1/11.pdf |
Summary: | In this paper, we obtain exact solutions of a new modification of the Schrödinger equation related to the Bessel q-operator. The theorem is proved on the existence of this solution in the Sobolev-type space W^2_q(R^+_q) in the q-calculus. The results on correctness in the corresponding spaces of the Sobolev-type are obtained. For simplicity, we give results involving fractional q-difference equations of real order a > 0 and given real numbers in q-calculus. Numerical treatment of fractional q-difference equations is also investigated. The obtained results can be used in this field and be supplement for studies in this field. |
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ISSN: | 2518-7929 2663-5011 |