Discontinuity, Nonlinearity, and Complexity
Existence of Mild Solutions of Abstract Fractional Differential Equations with Fractional NonInstantaneous Impulsive Conditions
Discontinuity, Nonlinearity, and Complexity 6(2) (2017) 173183  DOI:10.5890/DNC.2017.06.005
A. Anguraj$^{1}$, S. Kanjanadevi$^{1}$ , Juan J. Trujillo$^{2}$
$^{1}$ PSG College of Arts and Science, Coimbatore 641014, Tamil Nadu, India
$^{2}$ Departamento de Matemáticas, Universidad de La Laguna, Estadística, e I.O., 38271 La Laguna, Tenerife, Spain
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Abstract
We study the existence and uniqueness of a mild solution of fractional impulsive differential equations with nonlocal conditions. Here we consider fractional derivative in the noninstantaneous impulsive conditions. We use fixed point techniques and resolvent operators to prove our existence results.
Acknowledgments
This work was partially funded by FEDER and project MTM201341704P from the government of Spain.
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