Academic Journal
Artificial neural network for solving the nonlinear singular fractional differential equations
| العنوان: | Artificial neural network for solving the nonlinear singular fractional differential equations |
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| المؤلفون: | Saeed Althubiti, Manoj Kumar, Pranay Goswami, Kranti Kumar |
| المصدر: | Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023) |
| بيانات النشر: | Taylor & Francis Group, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics LCC:Engineering (General). Civil engineering (General) |
| مصطلحات موضوعية: | mlp neural network, nonlinear fractional differential equation, unsupervised learning, approximate solutions, Mathematics, QA1-939, Engineering (General). Civil engineering (General), TA1-2040 |
| الوصف: | This paper proposes an artificial neural network (ANN) architecture for solving nonlinear fractional differential equations. The proposed ANN algorithm is based on a truncated power series expansion to substitute the unknown functions in the equations in this approach. Then, a set of algebraic equations is resolved using the ANN technique in an iterative minimization process. Finally, numerical examples are provided to demonstrate the usefulness of the ANN architectures. The results verify that the suggested ANN architecture achieves high accuracy and good stability. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2769-0911 27690911 |
| Relation: | https://doaj.org/toc/2769-0911 |
| DOI: | 10.1080/27690911.2023.2187389 |
| URL الوصول: | https://doaj.org/article/92604637c6144e92b10f8cb2d52d8bdf |
| رقم الانضمام: | edsdoj.92604637c6144e92b10f8cb2d52d8bdf |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 27690911 |
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| DOI: | 10.1080/27690911.2023.2187389 |