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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations  
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