Two-point fractional boundary value problems

Rui A. C. Ferreira

doi:10.1216/jie.2021.33.229

Abstract

We study two-point boundary value problems (BVP) depending on fractional differential operators, which are motivated by physical considerations. We consider very general boundary conditions. Existence and uniqueness criteria are provided. Our results extend previously known results in the literature.

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Rui A. C. Ferreira. "Two-point fractional boundary value problems." J. Integral Equations Applications 33 (2) 229 - 236, Summer 2021. https://doi.org/10.1216/jie.2021.33.229

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Received: 21 April 2020; Revised: 16 October 2020; Accepted: 21 October 2020; Published: Summer 2021

First available in Project Euclid: 31 August 2021

MathSciNet: MR4306871

zbMATH: 1486.34063

Digital Object Identifier: 10.1216/jie.2021.33.229

Subjects:

Primary: 26A33 , 34B15

Secondary: 34A40

Keywords: boundary value problems , fractional derivatives , uniqueness

Abstract

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