Monotone Iterative Method for ψ-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions
Zidane Baitiche, Choukri Derbazi, Jehad Alzabut, Mohammad Esmael Samei, Mohammed K. A. Kaabar, Zailan Siri
Abstract
The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative technique together with the method of upper and lower solutions. Finally, we provide an example along with graphical representations to confirm the validity of our main results.
Topics & Concepts
Monotone polygonMathematicsNonlinear systemClass (philosophy)Boundary value problemDifferential equationMathematical analysisApplied mathematicsIterative methodBoundary (topology)Mathematical optimizationComputer sciencePhysicsGeometryQuantum mechanicsArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods