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Wang, Yinuo; Li, Chuandong; Wu, Hongjuan; Deng, Hao

Existence of solutions for fractional instantaneous and non-instantaneous impulsive differential equations with perturbation and Dirichlet boundary value. (English) Zbl 1508.34010

Discrete Contin. Dyn. Syst., Ser. S 15, No. 7, 1767-1776 (2022).
In this paper, the authors study a boundary value problem for fractional instantaneous and non-instantaneous impulsive differential equations with perturbation subject to Dirichlet boundary conditions. By using the Weierstrass theorem the existence of classical solutions is proved. An example illustrating the obtained results is also presented.
Reviewer: Sotiris K. Ntouyas (Ioannina)

Cited in 3 Documents

MSC:

34A08 Fractional ordinary differential equations
34B37 Boundary value problems with impulses for ordinary differential equations

Keywords:

fractional-order impulsive differential equations; instantaneous and non-instantaneous impulses; perturbation; Dirichlet boundary value conditions; Weierstrass theorem
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Full Text: DOI

References:

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