Monotonicity and oscillation for fractional differential equations with Riemann-Liouville derivatives

Abstract

Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the classical differential operator and the Riemann-Liouville operator is made.

Keywords

• fractional differential equation
• riemann-liouville derivative
• oscillation
• monotonicity
• asymptotic behavior
• 34a08
• 34c10
• 34e10