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Computational Solutions for Fractional Atangana- Baleanu PDEs: An Exploration of Sawi Transform and Homotopy Perturbation Method |
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PP: 1-17 |
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doi:10.18576/pfda/110101
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Author(s) |
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Rania Saadeh,
Abdelilah Kamal Sedeeg,
Ahmad Qazza,
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Abstract |
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| In this paper, the Sawi transform and the homotopy perturbation method are combined to present a novel and effective approach to solving fractional Atangana-Baleanu partial differential equations (PDEs). The suggested method is efficient in computing, decreasing time and resources needed to solve complicated and nonlinear equations. The essay introduces an interdisciplinary method for connecting fractional calculus theory and practice. Due to its solid and adaptable solution framework, this method can be used to solve numerous fluid mechanics, biological, and nonlinear wave equation problems. Numerous numerical applications have been examined to demonstrate the method’s efficacy. The work introduces an approach that may be applied to various fractional differential equations and operators, paving the way for further research. It greatly advances the field by expanding research and application.
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