Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives

Douglas R. Anderson ()
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Douglas R. Anderson: Concordia College

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 63-74 from Springer

Abstract: Abstract We use a newly introduced conformable derivative to formulate several boundary value problems with three or four conformable derivatives, including those with conjugate, right-focal, and Lidstone conditions. With the conformable differential equation and boundary conditions established, we find the corresponding Green’s functions and prove their positivity under appropriate assumptions.

Keywords: Positivity; Green’s Function; Conformable Derivative (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_3

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DOI: 10.1007/978-3-319-31281-1_3

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