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Sharp estimates for the unique solution of two-point fractional-order boundary value problems
Journal article   Open access  Peer reviewed

Sharp estimates for the unique solution of two-point fractional-order boundary value problems

Bashir Ahmad
Applied mathematics letters, Vol.65, pp.77-82
03/2017
DOI: https://doi.org/10.1016/j.aml.2016.10.008

Abstract

Boundary conditions Existence Fractional derivative Two-point
In this short note, we derive a sharp condition in terms of the end-points of the given interval which ensures the uniqueness of solutions for a Liouville–Caputo type fractional differential equation supplemented with two-point boundary conditions. A comparison with Riemann–Liouville type two-point fractional boundary value problem as well as with the classical two-point problem is presented.
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https://doi.org/10.1016/j.aml.2016.10.008View
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