Nonlocal Cauchy problems for fractional order nonlinear differential systems

• Authors: JinRong Wang , Xuezhu Li , Yong Zhou
• Languages of publication: EN

Abstracts

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.

Keywords

EN

nonlocal Cauchy problems; fractional order; nonlinear differential systems; existence; fixed point theorem

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1399-1413

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

JinRong Wang

author

Xuezhu Li

• Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China

author

Yong Zhou

• Department of Mathematics, Xiangtan University, Xiangtan, Hunan, 411105, P.R. China

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Identifiers

DOI

10.2478/s11534-013-0233-1