Monotone iterative technique for impulsive fractional evolution equations
نویسندگان
چکیده
منابع مشابه
Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
and Applied Analysis 3 system. Secondly, do the solution operators for fractional evolution equations have the perturbation properties analogous to those for the C0-semigroup? For evolution equations of integer order, perturbation properties play a significant role in monotone iterative technique; see 24 . Our paper copes with the above difficulties, and the new features of this paper mainly in...
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Impulsive differential equations are a basic tool for studying evolution processes of real life phenomena that are subjected to sudden changes at certain instants. In view of multiple applications of the impulsive differential equations, it is necessary to develop the methods for their solvability. Unfortunately, a comparatively small class of impulsive differential equations can be solved anal...
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and Applied Analysis 3 The purpose of this paper is to improve and extend the above mentioned results. We will delete the Lipschitz condition 1.5 for impulsive function Ik and the restriction condition 1.6 and improve condition 1.4 for nonlinear term f . Our main results are as follows. Theorem 1.1. Let E be an ordered Banach space, whose positive cone P is normal, A : D A ⊂ E → E be a closed l...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2011
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2011-125