Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi
Abstract
In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'ski's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.
Topics & Concepts
UniquenessHadamard transformMathematicsBoundary value problemNonlinear systemFixed-point theoremMathematical analysisBanach spaceApplied mathematicsPhysicsQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods