EXISTENCE THEORY FOR IMPULSIVE PARTIAL HYPERBOLIC FUNCTIONAL DIFFERENTIAL EQUATIONS INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE

Saïd Abbasa; Mouffak Benchohrab; Lech Górniewiczc

doi:10.32219/isms.72.1_49

Saïd Abbasa, Mouffak Benchohrab, Lech Górniewiczc

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Keywords: Impulsive Functional differential equations, fractional order, solution, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, fixed point

JOURNAL FREE ACCESS

2010 Volume 72 Issue 1 Pages 49-60

DOI https://doi.org/10.32219/isms.72.1_49

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Abstract

In this paper we investigate the existence and uniqueness of solutions of a class of partial impulsive hyperbolic differential equations with fixed time impulses involving the Caputo fractional derivative. Our main tool is a fixed point theorem.

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