Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces

• Autorzy: Zuomao Yan , Hongwu Zhang
• Języki publikacji: EN

Abstrakty

EN

We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the theory.

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 34A37: Differential equations with impulses
• 35R12: Impulsive partial differential equations
• 34A60: Differential inclusions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 2
• Strony: 143-169

Daty

wydano

2014

Twórcy

autor

Zuomao Yan

• Department of Mathematics, Hexi University, Zhangye, Gansu 734000, P.R. China

autor

Hongwu Zhang

• Department of Mathematics, Hexi University, Zhangye, Gansu 734000, P.R. China

Identyfikatory

DOI

10.4064/ap110-2-4