On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations
Yazarlar (3)
Prof. Dr. Yaşar BOLAT Kastamonu Üniversitesi, Türkiye
Dr. Öğr. Üyesi Murat GEVGEŞOĞLU Kastamonu Üniversitesi, Türkiye
George E. Chatzarakis
School Of Pedagogical And Technological Education, Yunanistan
School Of Pedagogical And Technological Education, Yunanistan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematics (Q1) | ||
| Dergi ISSN | 2227-7390 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2024 |
| Cilt / Sayı / Sayfa | 12 / 16 / – | DOI | 10.3390/math12162435 |
| Makale Linki | https://doi.org/10.3390/math12162435 | ||
| Özet |
| In applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important. Due to this importance, in this study, a qualitative analysis of the solutions of a delayed and constant coefficient fractal differential equation with more than one fractional derivative was performed. In the equation under consideration, the derivatives are the Riemann–Liouville fractional derivatives. In the proof of the obtained results, Laplace transform formulas of the Riemann–Liouville fractional derivative and some inequalities are used. We also provide some examples to check the accuracy of our results. |
| Anahtar Kelimeler |
| fractional derivative | fractional-order differential equations | oscillatory behavior | qualitative analysis |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |