- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 3
- New results for infinite functional differential inclusions with impulses effect and sectorial opera...
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
View : 3 | Download : 2
Publication Date : 2021-09-30
Article Type : Research
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 (P) 8> : cD® t x(t )¡ Ax(t ) 2 F(t ,xt ), t 2 J , t 6Æ ti , ¢x(ti ) Æ Ii (x(t¡ i )), i Æ 1, ...,m, x(t ) ƪ(t ), t 2 (¡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