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Journal of Applied Mathematics and Computing

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01.02.2016 | Original Research

Existence and Hyers–Ulam stability results for nonlinear fractional systems with coupled nonlocal initial conditions

verfasst von: Xiaoyan Li, Wei Jiang, Jiangru Xiang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2016

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Abstract

In this paper, we prove the existence of solutions for two kinds of nonlinear fractional differential systems with coupled nonlocal initial conditions, the approach is based on the fixed point theorem of Perov and the choice of suitable norm for vectors. Further, Hyers–Ulam stability problems are discussed for these two kinds of nonlinear fractional systems. Two examples are presented to illustrate the theory.

Vorheriger Artikel Some results on quasi-twisted codes over

Nächster Artikel Maximum values of atom–bond connectivity index in the class of tricyclic graphs

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Titel: Existence and Hyers–Ulam stability results for nonlinear fractional systems with coupled nonlocal initial conditions
verfasst von: Xiaoyan Li
Wei Jiang
Jiangru Xiang
Publikationsdatum: 01.02.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2016
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0881-y

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