Extends standard existence, stability, and dependence theorems to impulsive phi-Hilfer fractional differential equations, but the claimed result on dependence on the derivative order is not correctly proved.
A note on the mild solutions of Hilfer impulsive fractional differential equations
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abstract
In this paper, we present a new class of inequality of the Gronwall type and discuss some particular cases. In this sense, we investigate the uniqueness and $\delta$-Ulam-Hyers-Rassias stability of the mild solution for the fractional differential equation with non-instantaneous impulses in a P$\delta$-normed Banach space.
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math.DS 1years
2019 1verdicts
REJECT 1representative citing papers
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Analysis of Impulsive $\varphi$--Hilfer Fractional Differential Equations
Extends standard existence, stability, and dependence theorems to impulsive phi-Hilfer fractional differential equations, but the claimed result on dependence on the derivative order is not correctly proved.