The Schrödinger equations generated by q-Bessel operator in quantum calculus
Кванттық есептеуде q-Бессель операторымен алынған Шредингер теңдеулерi
Уравнения Шредингера, порожденные q-оператором Бесселя в квантовом исчислении
Shaimardan S. Tokmagambetov N.S.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#105Issue 1102 - 108 pp.
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.
q-Bessel operator , q-difference operator q-derivative , q-integral , q-Jackson integral , the q-Bessel Fourier transform , the Schrödinger equation , the Sobolev type space
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L.N. Gumilyev Eurasian National University, Nur-Sultan, Kazakhstan
Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
L.N. Gumilyev Eurasian National University
Karagandy University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026