Global existence of mild solutions for impulsive ψ−Caputo fractional parabolic equations

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Abstract

This paper investigated a class of nonlinear ψ−Caputo fractional parabolic equations with impulsive. We reformulated the fractional parabolic equations into abstract evolution equations. By using the nonlinear analysis method and fixed point theorems, we obtained the existence and uniqueness of the global of mild solutions for the problem.

Keywords

ψ−Caputo fractional derivative / impulsive / global existence / mild solution

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