التفاصيل البيبلوغرافية
| العنوان: |
Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application |
| المؤلفون: |
Hasib Khan, Jehad Alzabut, Dumitru Baleanu, Ghada Alobaidi, Mutti-Ur Rehman |
| المصدر: |
AIMS Mathematics, Vol 8, Iss 3, Pp 6609-6625 (2023) |
| بيانات النشر: |
AIMS Press, 2023. |
| سنة النشر: |
2023 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
modified abc-operator, hybrid fractional differential equations, existence of solutions, unique solution, hyers-ulam-stability, numerical simulations, Mathematics, QA1-939 |
| الوصف: |
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical scheme based on the the Lagrange's interpolation polynomial is established and applied to a dynamical system for the applications. We also study the uniqueness and Hyers-Ulam stability for the solutions of the presumed mABC-FDEs system. Such a system has not been studied for the mentioned mABC-operator and this work generalizes most of the results studied for the ABC operator. This study will provide a base to a large number of dynamical problems for the existence, uniqueness and numerical simulations. The results are compared with the classical results graphically to check the accuracy and applicability of the scheme. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2473-6988 |
| Relation: |
https://doaj.org/toc/2473-6988 |
| DOI: |
10.3934/math.2023334?viewType=HTML |
| DOI: |
10.3934/math.2023334 |
| URL الوصول: |
https://doaj.org/article/9ea4f51ff8e74ce68cbaaf191d40a067 |
| رقم الانضمام: |
edsdoj.9ea4f51ff8e74ce68cbaaf191d40a067 |
| قاعدة البيانات: |
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