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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Existence of Mild Solutions of Abstract Fractional Differential Equations with Fractional Non-Instantaneous Impulsive Conditions

Discontinuity, Nonlinearity, and Complexity 6(2) (2017) 173--183 | 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 non-instantaneous 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 MTM2013-41704-P from the government of Spain.

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