DOAJ Open Access 2022

The Schr¨odinger equations generated by q-Bessel operator in quantum calculus

S. Shaimardan N.S. Tokmagambetov

Abstrak

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 Wq2(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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

S. Shaimardan

N.S. Tokmagambetov

Format Sitasi

APA MLA BibTeX

Shaimardan, S., Tokmagambetov, N. (2022). The Schr¨odinger equations generated by q-Bessel operator in quantum calculus. https://doi.org/10.31489/2022m1/102-108

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m1/102-108
Akses: Open Access ✓