New results for infinite functional differential inclusions with impulses effect and sectorial operators in Banach spaces

Authors : Nawal ALSARORİ, Kirtiwant GHADLE

Pages : 382-392

Doi:10.31197/atnaa.844234

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Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :This article aims to use Bohnenblust Karlin’s fixed point theorem to obtain new results for the impulsive inclusions with infinite delay in Banah space given by the form insert ignore into journalissuearticles values(P); 8> : cD® t xinsert ignore into journalissuearticles values(t );¡ Axinsert ignore into journalissuearticles values(t ); 2 Finsert ignore into journalissuearticles values(t ,xt );, t 2 J , t 6Æ ti , ¢xinsert ignore into journalissuearticles values(ti ); Æ Ii insert ignore into journalissuearticles values(xinsert ignore into journalissuearticles values(t¡ i ););, i Æ 1, ...,m, xinsert ignore into journalissuearticles values(t ); ƪinsert ignore into journalissuearticles values(t );, t 2 insert ignore into journalissuearticles values(¡1,0]. where cD® is theCaputo derivative. We examine the casewhen themultivalued function F is an upperCarathéodory and the linear part is sectorial operator defined on Banach space. Also, we provide an example to elaborate the outcomes.
Keywords : Fractional impulsive differential inclusions, Nonlocal conditions, Fixed point theorems