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.
On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations
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abstract
In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results. The acquired results are extended to the nonlocal $\Psi$-Hilfer impulsive fractional differential equation. We gave an applications to the outcomes we procured. Further, examples are provided in support of the results we got.
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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.