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Abstract
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The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are
investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the
relevant Green function, by converting the existing Hadamard variable order fractional boundary value problem to an
equivalent standard Hadamard fractional boundary problem of the fractional constant order. Further, Darbo’s fixed point
criterion along with Kuratowski’s measure of noncompactness is used in this direction. As well as, the Ulam-Hyers-Rassias
stability of the proposed Hadamard variable order fractional boundary value problem is established. A numerical example is
presented to express our results’ validity.
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