Turkish Journal of Mathematics
DOI
10.3906/mat-1811-83
Abstract
This work aims to develop oscillation criterion and asymptotic behavior of solutions for a class of fractional order differential equation: $D^{\alpha}_{0}u(t)+\lambda u(t)=f(t,u(t)),~~t> 0,$ $D^{\alpha-1}_{0}u(t) _{t=0}=u_{0},~~\lim_{t\to 0}J^{2-\alpha}_{0}u(t)=u_{1}$ where $D^{\alpha}_{0}$ denotes the Riemann--Liouville differential operator of order $\alpha$ with $1
Keywords
Fractional differential equations, oscillation, asymptotic behavior, the Riemann-Liouville differential operator, the Mittag-Leffler function
First Page
1182
Last Page
1194
Recommended Citation
SEEMAB, ARJUMAND and REHMAN, MUJEEB UR
(2019)
"On oscillatory and nonoscillatory behavior of solutions for a class of fractional orderdifferential equations,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 9.
https://doi.org/10.3906/mat-1811-83
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/9
