EXISTENCE OF SOLUTIONS FOR FRACTIONAL INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH PERTURBATION AND DIRICHLET BOUNDARY VALUE

Yinuo Wang,Chuandong Li,Hongjuan Wu,Hao Deng

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S（2022）

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摘要

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.

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关键词

Fractional-order impulsive differential equations, instantaneous and non-instantaneous impulses, perturbation, Dirichlet boundary value conditions, Weierstrass theorem

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