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Mixed monotone iterative technique for semilinear impulsive fractional evolution equations

Journal of Applied Analysis and Computation, ISSN: 2158-5644, Vol: 9, Issue: 4, Page: 1216-1241
2019
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Article Description

In this paper, we deals with the existence of mild L-quasi-solutions to the boundary value problem for a class of semilinear impulsive fractional evolution equations in an ordered Banach space E. Under a new concept of upper and lower solutions, a new monotone iterative technique on the initial value problem of impulsive fractional evolution equations has been established. The results improve and extend some relevant results in ordinary differential equations and partial differential equations. As some application that illustrate our results, An example is also given.

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