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EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSIVE AND INTEGRAL BOUNDARY CONDITIONS
Author(s) : Kwanghyok Kim, Migyong Ri, Kinam Sin, Kyongjin Sok and Sungryol So
Pages : [1] - [21]
Received : January 21, 2019
Communicated by : Professor Suayip Yuzbasi
Pages : [1] - [21]
Received : January 21, 2019
Communicated by : Professor Suayip Yuzbasi
Abstract
In this paper, we investigate the uniqueness and existence of solution for nonlinear multi-term fractional differential equations with impulsive and fractional integral boundary conditions by means of the standard fixed point theorems and nonlinear alternative theorem. To illustrate our results, we give two examples.
Keywords
impulsive fractional differential equation, integral boundary value condition.