Existence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions

نویسندگان

  • ALKA CHADHA
  • DWIJENDRA N. PANDEY
چکیده

In the present work, we investigate the existence of a mild solution of the fractional order differential equation with impulsive conditions in a Banach space. We establish the existence of a mild solution by using some fixed point theorems and resolvent operator theory. We present an example for showing the effectiveness of the main theory. Mathematics subject classification (2010): 34K37, 34K40, 34K45, 35R11, 45J05, 45K05.

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تاریخ انتشار 2015