Existence results for a general class of sequential hybrid fractional differential equations
Rahmat Ali Khan, Shaista Gul, Fahd Jarad, Hasib Khan
Abstract
Abstract In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.
Topics & Concepts
MathematicsUniquenessNonlinear systemClass (philosophy)Boundary value problemOrdinary differential equationMathematical analysisPartial differential equationDomain (mathematical analysis)Fractional calculusApplied mathematicsNumerical partial differential equationsStability (learning theory)Measure (data warehouse)Differential equationComputer sciencePhysicsDatabaseQuantum mechanicsMachine learningArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations