A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal Boundary Conditions
Ravi P. Agarwal, Hana Al-Hutami, Bashir Ahmad
Abstract
We introduce a new class of boundary value problems consisting of a q-variant system of Langevin-type nonlinear coupled fractional integro-difference equations and nonlocal multipoint boundary conditions. We make use of standard fixed-point theorems to derive the existence and uniqueness results for the given problem. Illustrative examples for the obtained results are also presented.
Topics & Concepts
MathematicsUniquenessType (biology)Nonlinear systemBoundary value problemMathematical analysisClass (philosophy)Langevin equationBoundary (topology)Fixed-point theoremApplied mathematicsPhysicsStatistical physicsComputer scienceBiologyQuantum mechanicsArtificial intelligenceEcologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods