A Study on the Solutions of a Multiterm FBVP of Variable Order
Zoubida Bouazza, Sina Etemad, Mohammed Said Souıd, Shahram Rezapour, Francisco Martínez, Mohammed K. A. Kaabar
Abstract
In the present research study, for a given multiterm boundary value problem (BVP) involving the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness-existence properties are analyzed. To arrive at such an aim, we first investigate some specifications of this kind of variable order operator and then derive required criteria confirming the existence of solution. All results in this study are established with the help of two fixed-point theorems and examined by a practical example.
Topics & Concepts
UniquenessVariable (mathematics)Operator (biology)Order (exchange)Nonlinear systemBoundary value problemMathematicsValue (mathematics)Point (geometry)Mathematical analysisApplied mathematicsPhysicsStatisticsGeometryChemistryGeneQuantum mechanicsFinanceBiochemistryRepressorTranscription factorEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods