Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
- M. J. Mardanov
- N. I. Mahmudov
- Y. A. Sharifov
Publication date
January 2014
DOI Publisher
Hindawi Limited ISSN
2356-6140 Journal
1537-744x Citation count (estimate)
3Abstract
We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α 0<α≤1 involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case α=1
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