Open Mathematics · 2015 · 14 citations · 16 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsFractional Differential EquationsMild Solutions
Abstract In this paper, we investigate the boundary value problems of fractional order differential equations with not instantaneous impulse. By some fixed-point theorems, the existence results of mild solution are established. At last, one example is also given to illustrate the results.
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Topological Methods in the Theory of Nonlinear Integral Equations.
E. H. Rothe, M. A. Krasnosel’skii, A. H. Armstrong et al. · American Mathematical Monthly · 1968 · 2K citations