Open AccessExistence of solutions for fractional instantaneous and non-instantaneous impulsive differential equations with perturbation and Dirichlet boundary value
Author(s) -
Yinuo Wang,
Chuandong Li,
Hongjuan Wu,
Hao Deng
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022005
Subject(s) - mathematics , perturbation (astronomy) , mathematical analysis , dirichlet boundary condition , boundary value problem , dirichlet distribution , differential equation , boundary values , physics , quantum mechanics
A class of fractional instantaneous and non-instantaneous impulsive differential equations under Dirichlet boundary value conditions with perturbation is considered here. The existence of classical solutions is presented by using the Weierstrass theorem. An example is given to verify the validity of the obtained results.