Makale detayı · 2023
A New Method for Solving Sequential Fractional Wave Equations
- Yıl
- 2023
- ISSN
2314-4629- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
In this article, we focus on two classes of fractional wave equations in the context of the sequential Caputo derivative. For the first class, we derive the closed-form solution in terms of generalized Mittag–Leffler functions. Subsequently, we consider a more general class of nonhomogeneous fractional wave equations. Due to the complexity of finding exact solutions for these problems, we employ a numerical technique based on the operational matrix method to approximate the solution. We provide several theoretical and numerical examples to validate the effectiveness of this numerical approach. The results demonstrate the accuracy and efficiency of the proposed method.
Konular
- Fractional Differential Equations Solutions
- Nonlinear Waves and Solitons
- Nonlinear Differential Equations Analysis
Birincil konu Fractional Differential Equations Solutions