Differentiation of Solutions of Caputo Boundary Value Problems with respect to Boundary Data

Jeffrey W. Lyons

doi:10.20944/preprints202405.1010.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 14 May 2024 / Approved: 15 May 2024 / Online: 15 May 2024 (07:45:48 CEST)

Under suitable continuity and uniqueness conditions, solutions of an α order Caputo fractional boundary value problem are differentiated with respect to boundary values and boundary points. This extends well-known results for nth order boundary value problems. The approach used is a standard technique and makes heavy use of recent results for differentiation of solutions of Caputo fractional intial value problems with respect to initial conditions and continuous dependence for Caputo fractional boundary value problems.

continuous dependence; Caputo fractional derivative; fractional differential equation; variational equation

Computer Science and Mathematics, Mathematics

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Differentiation of Solutions of Caputo Boundary Value Problems with respect to Boundary Data

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