Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses

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Abstract

In this paper, we study the existence of solutions to the Dirichlet boundary value problem for fractional differential equations with instantaneous and non-instantaneous impulses, establish the existence result based on the variational method, and provide an example that illustrates the main result.

Keywords

Fractional differential equation
Dirichlet boundary value problem
Instantaneous impulses
Non-instantaneous impulses
Variational method

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Supported by the Fundamental Research Funds for the Central Universities, China (2017XKQY089).