4.6 Article

Eα-Ulam type stability of fractional order ordinary differential equations

期刊

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
卷 45, 期 1-2, 页码 449-459

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s12190-013-0731-8

关键词

Fractional order; Ordinary differential equations; E-alpha-Ulam type stability

资金

  1. National Natural Science Foundation of China [11201091]
  2. Key Projects of Science and Technology Research in the Chinese Ministry of Education [211169]
  3. Key project on the reforms of teaching contents and course system of Guizhou Normal College

向作者/读者索取更多资源

In this paper, the concepts of E-alpha-Ulam-Hyers stability, generalized Ea-Ulam-Hyers stability, E-alpha-Ulam-Hyers-Rassias stability and generalized E-alpha-Ulam-Hyers-Rassias stability for fractional order ordinary differential equations are raised. Without loss of generality, E-alpha-Ulam-Hyers-Rassias stability result is derived by using a singular integral inequality of Gronwall type. Two examples are also provided to illustrate our results.

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