Double Fuzzy Aboodh Transform for Solving Fuzzy Partial Differential Equations

Authors

  • Samer Thaaban Abaas Alshibley Department of Mathematics, Faculty of Education, University of Kufa, Najaf, Iraq
  • Adel Hashem Nouri Department of computer science, Faculty of Education, University of Kufa, Najaf, Iraq.
  • Ahmed Jebur Ali Department of Mathematics, Faculty of Education, University of Kufa, Najaf, Iraq.

Keywords:

Fuzzy number; double fuzzy Aboodh transform; fuzzy partial differential equations; Strongly generalized differential; Fuzzy valued function.

Abstract

Solving partial differential equations, integro-differential equations of various kinds, and ordinary differential equations is a common application for the Aboodh transformation. This effort aims primarily to provide a new double fuzzy transform called the double fuzzy Aboodh transform. Several essential properties of double fuzzy Aboodh transformations are shown. These novel results may be used to solve precisely fuzzy partial differential equations with a generalized Hukuhara partial differentiability. Additionally, an example is provided to show how effective and superiority of the symmetric triangular fuzzy numbers in the double fuzzy Aboodh transform for solving fuzzy partial differential equations.

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Published

2024-09-24

How to Cite

Samer Thaaban Abaas Alshibley, Adel Hashem Nouri, & Ahmed Jebur Ali. (2024). Double Fuzzy Aboodh Transform for Solving Fuzzy Partial Differential Equations. Journal of Computational Analysis and Applications (JoCAAA), 33(06), 78–84. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/708

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