The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses

Abbas, Saïd ; Benchohra, Mouffak

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 30 (2010) no. 1, pp. 141-161.

Résumé

In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.

Détail

Keywords: impulsive hyperbolic differential inclusion, fractional order, upper solution, lower solution, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, fixed point

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