
doi: 10.1002/mma.7024
This paper aims to study the sufficient conditions for the existence and uniqueness of solutions to the multipoint coupled boundary value problem of nonlinear Caputo–Hadamard fractional differential equations associating with nonlocal integral boundary conditions. The required conditions are obtained by using classical results of functional analysis and fixed point theory. Furthermore, the Hyers–Ulam stability of solutions is discussed, and sufficient conditions for the stability are developed. Obtained results are supported by examples and illustrated in the last section.
coupled, Applications of operator theory to differential and integral equations, boundary value problem, fixed point theorem, Fractional ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, Caputo-Hadamard fractional derivative
coupled, Applications of operator theory to differential and integral equations, boundary value problem, fixed point theorem, Fractional ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, Caputo-Hadamard fractional derivative
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