On oscillatory and nonoscillatory behavior of solutions for a class of fractional order differential equations
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
A blow-up result for nonlocal thin-film equation with positive initial energy
Bilender PAŞAOĞLU, Hüseyin TUNA
A new comprehensive subclass of analytic bi-close-to-convex functions
Companion sequences associated to the r -Fibonacci sequence: algebraic and combinatorial properties
Hacene BELBACHIR, Sadjia ABBAD, Benali BENZAGHOU
A new general subclass of m-fold symmetric bi-univalent functions given by subordination
Numerical solutions of Black-Scholes integro-differential equations with convergence analysis