Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions
Bashir Ahmad, Shorog Aljoudi
Abstract
We investigate the existence criteria for solutions of a nonlinear coupled system of Hilfer–Hadamard fractional differential equations of different orders complemented with nonlocal coupled Hadamard fractional integral boundary conditions. The desired results are accomplished with the aid of standard fixed-point theorems. We emphasize that the fixed point approach is one of the effective methods to establish the existence results for boundary value problems. Examples illustrating the obtained results are constructed.
Topics & Concepts
Hadamard transformMathematicsBoundary value problemMathematical analysisFractional calculusIntegral equationNonlinear systemFixed-point theoremDifferential (mechanical device)Applied mathematicsPhysicsThermodynamicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods