Implicit nonlinear fractional differential equations of variable order
Amar Benkerrouche, Mohammed Said Souıd, Kanokwan Sıtthıthakerngkıet, Ali Hakem
Abstract
Abstract In this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order. We construct an example to illustrate the validity of the observed results.
Topics & Concepts
MathematicsOrdinary differential equationNonlinear systemBoundary value problemMathematical analysisVariable (mathematics)Order (exchange)Partial differential equationDifferential equationNumerical partial differential equationsFractional calculusApplied mathematicsStability (learning theory)EconomicsQuantum mechanicsPhysicsFinanceComputer scienceMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods