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

• Autorzy: Saïd Abbas , Mouffak Benchohra
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 34A60: Differential inclusions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2010
• Tom: 30
• Numer: 1
• Strony: 141-161

Daty

wydano

2010

otrzymano

2009-09-14

Twórcy

autor

Saïd Abbas

• Laboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie

autor

Mouffak Benchohra

• Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie

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Identyfikatory

DOI

10.7151/dmdico.1116