Results for Mild solution of fractional coupled hybrid boundary value problems

Dumitru Baleanu, Hossein Jafari, Hasib Khan, Sarah Jane Johnston
2015 Open Mathematics  
AbstractThe study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and uniqueness of mild solution (EUMS) of a coupled system of HFDEs. The novelty of this work is the study of a coupled system of fractional order hybrid boundary value problems (HBVP) with n initial and boundary hybrid conditions. For this purpose, we are utilizing some
more » ... re utilizing some classical results, Leray–Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.
doi:10.1515/math-2015-0055 fatcat:k2bph5zb6rf3beax3u6ak36ncu