On nonoscillation of fractional order functional differential equations with forcing term and distributed delays
Copyright policy )On nonoscillation of fractional order functional differential equations with forcing term and distributed delays
Abstract The paper deals with the nonoscillatory solutions of arbitrary noninteger-order neutral equations with distributed delays. Through the use of the LFD (Liouville Fractional Derivative) of order α ≥ 0 on the half-axis and BCP (Banach Contraction Principle), we are able to get the nonoscillation criteria. The obtained results are emphasized with some appropriate examples.
- Periyar University India
- Ankara Bilim Üniversitesi Turkey
- Ostim Technical University Turkey
- Prince Sultan University Saudi Arabia
Liouville fractional derivative, Oscillation theory of functional-differential equations, nonoscillatory solutions, Nonautonomous smooth dynamical systems, neutral differential equation, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Functional-differential equations with fractional derivatives, Neutral functional-differential equations, distributed delays, Banach contraction principle
Liouville fractional derivative, Oscillation theory of functional-differential equations, nonoscillatory solutions, Nonautonomous smooth dynamical systems, neutral differential equation, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Functional-differential equations with fractional derivatives, Neutral functional-differential equations, distributed delays, Banach contraction principle
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