Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability

In this paper, the existence, uniqueness and stability of solutions to a boundary value problem nonlinear FDEs variable order are established. To do this, we first investigate some aspects operators Hadamard type. Then, with help generalized intervals piecewise constant functions, convert FBVP an equivalent standard BVP fractional order. Further, two fixed point theorems due Schauder Banach used and, finally, Ulam–Hyers–Rassias given is examined. These results supported aid comprehensive example.