Existence of solutions for nonlinear impulsive higher order fractional differential equations
Author(s) -
Xuhuan Wang
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.80
Subject(s) - mathematics , nonlinear system , order (exchange) , differential equation , fractional calculus , mathematical analysis , physics , economics , finance , quantum mechanics
In this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order q ∈ (n − 1, n]. The results are based on Altman's fixed point theorem and Leray-Schauder's fixed point theorem.
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