A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions
Sotiris K. Ntouyas, Hamed Alsulami
Abstract
Abstract In this work we investigate existence and uniqueness of solutions for new coupled systems of mixed order fractional differential equations and inclusions supplemented with coupled nonlocal fractional boundary conditions. We apply the Leray–Schauder alternative and the Banach contraction mapping principle to obtain the existence and uniqueness results, while in the multi-valued case we use the nonlinear alternative for Kakutani maps and Covitz and Nadler’s fixed point theorem.
Topics & Concepts
MathematicsUniquenessFixed-point theoremContraction principleOrdinary differential equationContraction mappingMathematical analysisPicard–Lindelöf theoremBoundary value problemNonlinear systemPartial differential equationDifferential inclusionDifferential equationPhysicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods