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2013 | 11 | 10 | 1399-1413
Tytuł artykułu

Nonlocal Cauchy problems for fractional order nonlinear differential systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we discuss nonlocal Cauchy problems for fractional order nonlinear differential systems. Firstly, an important matrix associated with fractional order and two functionals are constructed. Further, some sufficient conditions which guarantee such matrix convergent to zero matrix are presented. Secondly, by using three fixed point theorems via the techniques that use convergent to zero matrix and vector norm, some existence results for the solutions of such fractional order nonlinear differential systems are given under different conditions. Finally, some examples are given to illustrate the results.
Wydawca

Czasopismo
Rocznik
Tom
11
Numer
10
Strony
1399-1413
Opis fizyczny
Daty
wydano
2013-10-01
online
2013-12-19
Twórcy
autor
  • Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China, xzleemath@126.com
autor
  • Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China, yzhou@xtu.edu.cn
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0233-1
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