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Keywords:
partial hyperbolic differential equation; fractional order; left-sided mixed Riemann-Liouville integral; mixed regularized derivative; solution; Fréchet space; fixed point
partial hyperbolic differential equation; fractional order; left-sided mixed Riemann-Liouville integral; mixed regularized derivative; solution; Fréchet space; fixed point
Summary:
In this paper we investigate the global existence and uniqueness of solutions for the initial value problems (IVP for short), for a class of implicit hyperbolic fractional order differential equations by using a nonlinear alternative of Leray-Schauder type for contraction maps on Fréchet spaces.
References:
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