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Darboux problem for fractional order neutral functional partial hyperbolic differential equations
Journal article

Darboux problem for fractional order neutral functional partial hyperbolic differential equations

Said Abbas, Mouffak Benchohra and Yong Zhou
International Journal of Dynamical Systems and Differential Equations, Vol.2(3-4), pp.301-312
01/01/2009
DOI: https://doi.org/10.1504/IJDSDE.2009.03111

Abstract

delay initial value problems functional differential equations solution hyperbolic differential equations Darboux problem left-sided mixed Riemann?Liouville integral contraction neutral differential equations Caputo fractional-order derivative fractional order fixed point theorem
In this paper, we prove an existence result for initial value problems (IVP for short), for neutral partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative. Our works will be considered by using Krasnoselskii's fixed point theorem.

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