Open AccessNew results for a class of boundary value problems involving impulsive fractional differential equations
Author(s) -
Fei Zheng
Publication year - 2020
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/fil2003707z
Subject(s) - mathematics , uniqueness , boundary value problem , monotone polygon , mathematical analysis , operator (biology) , perturbation (astronomy) , class (philosophy) , sequence (biology) , differential equation , fixed point theorem , biochemistry , chemistry , physics , geometry , genetics , repressor , quantum mechanics , artificial intelligence , biology , computer science , transcription factor , gene
In this paper, a class of boundary value problems involving impulsive fractional differential equations is studied. By constructing Green?s function, a natural formula of solutions is derived. By applying fixed point theorems for mixed monotone operator with perturbation and sum operator, some new results on the existence and uniqueness of positive solutions are obtained, and an iterative sequence is constructed to approximate the positive solutions.