Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 45, Issue 1-2, Pages 449-459Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-013-0731-8
Keywords
Fractional order; Ordinary differential equations; E-alpha-Ulam type stability
Categories
Funding
- National Natural Science Foundation of China [11201091]
- Key Projects of Science and Technology Research in the Chinese Ministry of Education [211169]
- Key project on the reforms of teaching contents and course system of Guizhou Normal College
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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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