التفاصيل البيبلوغرافية
| العنوان: |
Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions |
| المؤلفون: |
Zhiyuan Yuan, Luyao Wang, Wenchang He, Ning Cai, Jia Mu |
| المصدر: |
Mathematics, Vol 12, Iss 12, p 1877 (2024) |
| بيانات النشر: |
MDPI AG, 2024. |
| سنة النشر: |
2024 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
fractional neutral integro-differential equations, resolvent family, probability density function, mild solutions, Mathematics, QA1-939 |
| الوصف: |
We primarily investigate the existence of solutions for fractional neutral integro-differential equations with nonlocal initial conditions, which are crucial for understanding natural phenomena. Taking into account factors such as neutral type, fractional-order integrals, and fractional-order derivatives, we employ probability density functions, Laplace transforms, and resolvent operators to formulate a well-defined concept of a mild solution for the specified equation. Following this, by using fixed-point theorems, we establish the existence of mild solutions under more relaxed conditions. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2227-7390 |
| Relation: |
https://www.mdpi.com/2227-7390/12/12/1877; https://doaj.org/toc/2227-7390 |
| DOI: |
10.3390/math12121877 |
| URL الوصول: |
https://doaj.org/article/b84e6ef9a6f2438db77996aadcc99e40 |
| رقم الانضمام: |
edsdoj.b84e6ef9a6f2438db77996aadcc99e40 |
| قاعدة البيانات: |
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