Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Existence Results for Fractional Integro-Differential Equations with Fractional Order Non-instantaneous Impulsive Conditions

Download PDF (802.1 KB) PP. 44 - 58 Pub. Date: January 1, 2016

DOI: 10.22606/jaam.2016.11005

Author(s)

  • A. Anguraj*
    PSG College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India
  • S. Kanjanadevi
    PSG College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India

Abstract

In this paper, we prove the existence  results  for  fractional  integro-differential equa- tions with fractional order non-instantaneous impulsive conditions. We prove the existence of mild solutions by using the resolvent operator and fixed point theorem for condensing map.

Keywords

Fractional differential equations, fractional non-instantaneous impulsive conditions, resolvent operator.

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