On ℬ-Analog of the Sumudu Transform Associated With the General Quantum ℬ-Difference Operator

Karima M. Oraby and Youssri Hassan Youssri

Journal of Mathematics, 2026, vol. 2026, 1-16

Abstract: We present here a B-analog of the Sumudu transform defined via a general quantum B-difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B-Sumudu transform and illustrate its applications in solving B-initial value problems using concrete examples. Towards the end of the paper, we constructed a new, accurate, and extremely generalized Hybrid Sumudu Variational Method of the general quantum B-difference operator DB which, by systematically employing the B-Sumudu transform helps derive Lagrange multipliers from the nonlinear quantum B-difference equations, the proposed approach advances and generalizes several earlier findings in this field.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6817113

DOI: 10.1155/jom/6817113

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