Open AccessExistence of solutions for fractional differential inclusions with initial value condition and non-instantaneous impulses
Author(s) -
Danfeng Luo,
Zhiguo Luo
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917499l
Subject(s) - mathematics , constructive , differential inclusion , gronwall's inequality , nonlinear system , initial value problem , differential (mechanical device) , mathematical analysis , type (biology) , inequality , calculus (dental) , process (computing) , medicine , ecology , physics , dentistry , quantum mechanics , computer science , engineering , biology , aerospace engineering , operating system
In this paper, we mainly consider the existence of solutions for a kind of ?-Hilfer fractional differential inclusions involving non-instantaneous impulses. Utilizing another nonlinear alternative of Leray-Schauder type, we present a new constructive result for the addressed system with the help of generalized Gronwall inequality and Lagrange mean-value theorem, and some achievements in the literature can be generalized and improved. As an application, a typical example is delineated to demonstrate the effectiveness of our theoretical results.