Yazarlar |
Prof. Dr. Yaşar BOLAT
Kastamonu Üniversitesi, Türkiye |
Dr. Öğr. Üyesi Murat GEVGEŞOĞLU
Kastamonu Üniversitesi, Türkiye |
George E. Chatzarakis
School of Pedagogical and Technological Education, Greece |
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | Mathematics |
Dergi ISSN | 2227-7390 |
Dergi Tarandığı Indeksler | SCI-Exp, SCOPUS, Curation, Current Contents Physical Chemical & Earth Sciences, Essential Science Indicators, Reference Master, Sophia |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 08-2024 |
Cilt No | 12 |
Sayı | 16 |
Doi Numarası | 10.3390/math12162435 |
Makale Linki | https://www.mdpi.com/2227-7390/12/16/2435 |