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

In: Mathematical Analysis, Approximation Theory and Their Applications

Author

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  • Douglas R. Anderson

    (Concordia College)

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.

Suggested Citation

  • Douglas R. Anderson, 2016. "Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Vijay Gupta (ed.), Mathematical Analysis, Approximation Theory and Their Applications, pages 63-74, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31281-1_3
    DOI: 10.1007/978-3-319-31281-1_3
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