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

Author

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  • Karima M. Oraby
  • Youssri Hassan Youssri

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.

Suggested Citation

  • Karima M. Oraby & Youssri Hassan Youssri, 2026. "On ℬ-Analog of the Sumudu Transform Associated With the General Quantum ℬ-Difference Operator," Journal of Mathematics, Hindawi, vol. 2026, pages 1-16, May.
    • Handle: RePEc:hin:jjmath:6817113
    DOI: 10.1155/jom/6817113
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