Multi-Strip and Multi-Point Boundary Conditions for Fractional Langevin Equation
Ahmed Salem, Balqees Alghamdi
Abstract
In the present paper, we discuss a new boundary value problem for the nonlinear Langevin equation involving two distinct fractional derivative orders with multi-point and multi-nonlocal integral conditions. The fixed point theorems for Schauder and Krasnoselskii–Zabreiko are applied to study the existence results. The uniqueness of the solution is given by implementing the Banach fixed point theorem. Some examples showing our basic results are provided.
Topics & Concepts
Fixed-point theoremUniquenessMathematicsBanach fixed-point theoremBoundary value problemSchauder fixed point theoremLangevin equationMathematical analysisNonlinear systemDerivative (finance)Picard–Lindelöf theoremFractional calculusFixed pointPoint (geometry)Applied mathematicsPhysicsStatistical physicsGeometryQuantum mechanicsEconomicsFinancial economicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods