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Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces

Authors

  • Waseem G. Alshanti Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan https://orcid.org/0000-0002-6403-3448
  • Iqbal M. Batiha Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan https://orcid.org/0000-0002-8443-8848
  • Ahmad Alshanty Cyber Security Department, Isra University, Amman, Jordan

DOI:

https://doi.org/10.37256/cm.4220232527

Keywords:

Banach space, tensor product, atomic solution, partial differential equations

Abstract

This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in Banach spaces coupled with some properties of atoms operators. Some illustrative examples will be provided to validate our findings.

References

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Published

2023-05-08

Versions

Issue

Contemporary Mathematics, Volume 4 Issue 2 (2023), 182-378

Section

Research Article

License

Copyright (c) 2023 Iqbal M. Batiha, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces. Contemp. Math. [Internet]. 2023 May 8 [cited 2025 Dec. 24];4(2):286-94. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2527