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Journal of Applied Mathematics and Computing

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01.10.2016 | Original Research

Nonlocal Cauchy problems for a class of implicit impulsive fractional relaxation differential systems

verfasst von: Yuruo Zhang, JinRong Wang

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

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In this paper, we discuss nonlocal Cauchy problems for a class of implicit impulsive fractional relaxation differential systems. By using vectorial version fixed point theorems and splitting the Lipschitz or linear growth conditions on the nonlinear terms into two parts and applying the techniques that use convergent to zero matrix and vector-valued norm via boundedness and continuity of Mittag-Leffler functions, two couple existence results for the solutions are presented in a complete generalized metric space or a generalized Banach space.

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Titel: Nonlocal Cauchy problems for a class of implicit impulsive fractional relaxation differential systems
verfasst von: Yuruo Zhang
JinRong Wang
Publikationsdatum: 01.10.2016
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/s12190-015-0943-1

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