Boundary Value Problems · 2009 · 235 citations · 36 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsExistence TheoryIntegral EquationsBoundary Integral ConditionsBoundary ProblemContraction Mapping PrincipleContraction PrincipleFractional Differential EquationsNonlinear Boundary-value ProblemsNonlinear Integral Equations
This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions. Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.
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