Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
Rizwan Rizwan, Akbar Zada, Hira Waheed, Usman Riaz
Abstract
Abstract In this manuscript, switched coupled system of nonlinear impulsive Langevin equations involving four Hilfer fractional-order derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss the existence, uniqueness, and Ulam’s type stability results of our proposed model, with the help of Schaefer’s fixed point theorem. An example is provided at the end to illustrate our results.
Topics & Concepts
Nonlinear systemUniquenessOrder (exchange)Fixed-point theoremMathematicsStability (learning theory)Applied mathematicsLangevin equationType (biology)Mathematical analysisPhysicsStatistical physicsComputer scienceEconomicsFinanceQuantum mechanicsMachine learningBiologyEcologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods for differential equations