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Existence and stability for Hadamard p-type fractional functional differential equations

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Abstract

In this paper, we study the existence and Hyers–Ulam stability of solutions for a Hadamard p-type fractional order functional and neutral functional differential equations involving initial value problems. Sufficient conditions which guarantee the existence and Hyers–Ulam stability are new and obtained.

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Acknowledgments

The authors are grateful to the editor and the anonymous reviewers for their constructive comments and suggestions which improved the quality of the paper. The first author’s work is supported by Research Fund of Hunan Provincial Education Department (15C0538) and partially supported by Hunan Provincial Natural Science Foundation of China (2015JJ2068).

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Authors and Affiliations

  1. Department of Mathematics, Guangxi Science and Technology Normal University, Laibin, 546100, Guangxi, People’s Republic of China

    Haihua Wang & Yanqiong Liu

  2. Department of Mathematics, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, People’s Republic of China

    Huanran Zhu

Authors
  1. Haihua Wang
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  2. Yanqiong Liu
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  3. Huanran Zhu
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Correspondence to Haihua Wang.

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Wang, H., Liu, Y. & Zhu, H. Existence and stability for Hadamard p-type fractional functional differential equations. J. Appl. Math. Comput. 55, 549–562 (2017). https://doi.org/10.1007/s12190-016-1049-0

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  • DOI: https://doi.org/10.1007/s12190-016-1049-0

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