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On the solutions for impulsive fractional functional differential equations

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Abstract

In this paper, the existence, uniqueness and uniform stability of solutions for a class of impulsive fractional functional differential equations are investigated by applying new boundedness condition and Lipschitz condition. An example is given to illustrate the main results.

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Authors and Affiliations

  1. Department of Mathematics, Xiangnan University, Chenzhou, 423 000, China

    Fulai Chen, Anping Chen & Xiaoping Wang

  2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411 005, China

    Anping Chen

Authors
  1. Fulai Chen
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  2. Anping Chen
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  3. Xiaoping Wang
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Corresponding author

Correspondence to Anping Chen.

Additional information

This work was supported by the Scientific Research Foundation of Hunan Provincial Education Department (05A057, 09B096), and the National Natural Science Foundation of China (No. 10971173) was also supported by the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province, and the Construct Program of the Key Discipline in Hunan Province.

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Chen, F., Chen, A. & Wang, X. On the solutions for impulsive fractional functional differential equations. Differ Equ Dyn Syst 17, 379–391 (2009). https://doi.org/10.1007/s12591-009-0027-5

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  • DOI: https://doi.org/10.1007/s12591-009-0027-5

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