Fractional order impulsive partial hyperbolic functional differential equations with variable times and state-dependent delay

Saїd Abbas, Mouffak Benchohra, Lech Górniewicz


In this paper we study existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with variable time impulses and state-dependent delay involving the Caputo fractional derivative. Suitable fixed point theorems are used.

Ключові слова

Impulsive functional differential equations, fractional order, solution, left-sided mixed Riemann-Liouville integral, Caputo fractionalorder derivative, variable times, fixed point

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