Advances in Difference Equations · 2019 · 21 citations · 68 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsStochastic ProcessesBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsPartial Differential EquationsStochastic Differential EquationsBoundary ProblemBoundary Value Problems For Stochastic Differential EquationsImpulsive SystemsLangevin EquationsParabolic Boundary-value ProblemsStability Of Partial Differential EquationsWeak Solutions
Abstract In this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the qualitative properties like existence and Ulam’s stability of the proposed problem. The main result is verified by an example.
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