2,157 research outputs found
On the Nonlinear Impulsive --Hilfer Fractional Differential Equations
In this paper, we consider the nonlinear -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 -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.Comment: 2
Mild solutions of Riemann–Liouville fractional differential equations with fractional impulses
We consider Riemann–Liouville fractional differential equations with fractional-order derivative in the impulsive conditions. We study the existence of the mild solution by applying the Laplace transform method and (a,k)-regularized resolvent operator. We use the contraction mapping principle and fixed point theorem for condensing map to prove our existence results
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