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Article

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Title

Existence and uniqueness of solution of differential equation of second order in cone metric spaces

Authors

Year of publication

2010

Published in

Fasciculi Mathematici

Journal year: 2010 | Journal number: nr 45

Article type

scientific article

Publication language

english

Keywords
EN
  • cone metric space
  • fixed point
  • fractional calculus
  • cosine family
PL
  • przestrzeń metryczna
  • punkt stały
Abstract

EN In this paper we investigate the existence and uniqueness for fractional and non-fractional dierential equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space, fractional calculus and the theory of strongly continuous cosine family.

Pages (from - to)

121 - 131

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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