Turkish Journal of Mathematics
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
DOI
10.3906/mat-1811-83
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, A, & REHMAN, M. U (2019). On oscillatory and nonoscillatory behavior of solutions for a class of fractional orderdifferential equations. Turkish Journal of Mathematics 43 (3): 1182-1194. https://doi.org/10.3906/mat-1811-83
