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Journal of Applied Mathematics and Computing

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28.05.2020 | Original Research

Positive solutions of nonlocal fractional boundary value problem involving Riemann–Stieltjes integral condition

verfasst von: Faouzi Haddouchi

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020

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Abstract

In this paper, we investigate the existence of positive solutions for a nonlocal fractional boundary value problem involving Caputo fractional derivative and nonlocal Riemann–Stieltjes integral boundary condition. By using the spectral analysis of the relevant linear operator and Gelfand’s formula, we obtain an useful upper and lower bounds for the spectral radius. Our discussion is based on the properties of the Green’s function and the fixed point index theory in cones.

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Nächster Artikel On existence, uniqueness and Ulam’s stability results for boundary value problems of fractional iterative integrodifferential equations

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Titel: Positive solutions of nonlocal fractional boundary value problem involving Riemann–Stieltjes integral condition
verfasst von: Faouzi Haddouchi
Publikationsdatum: 28.05.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2020
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01365-0

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