Boundary Value Problems · 2012 · 30 citations · 18 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsInitial Value ProblemsAsymptotic Boundary ConditionsElliptic Boundary-value ProblemsFractional Differential EquationsNonlinear Boundary-value Problems
This article deals with the differential equations of fractional order on the half-line. By the recent Leggett-Williams norm-type theorem due to O'Regan and Zima, we present some new results on the existence of positive solutions for the fractional boundary value problems at resonance on unbounded domains.
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Fractional order differential equations on an unbounded domain
A. Arara, Mouffak Benchohra, Naima Hamidi et al. · Nonlinear Analysis · 2009 · 171 citations