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Mittag–Leffler–Hyers–Ulam Stability of Delay Fractional Differential Equation via Fractional Fourier Transform

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Abstract

This paper deals with existence and Mittag–Leffler–Hyers–Ulam stability of solution for a fractional order differential equation involving Riemann–Liouville derivative. Applying fractional Fourier transform method, existence and stability results are obtained for the proposed problems. In addition, stability results for delay fractional differential equation are investigated. Examples are given to illustrate of main work.

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Acknowledgements

We would like to express our sincere gratitude to the anonymous referee for his/her helpful comments that will help to improve the quality of the manuscript.

Funding

This work was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).

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Authors and Affiliations

  1. Department of Mathematics, Government Arts and Science College, Hosur, Tamil Nadu, India

    Anumanthappa Ganesh

  2. Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai, Tamil Nadu, India

    Vediyappan Govindan

  3. Department of Data Science, Daejin University, Kyunggi, 11159, Korea

    Jung Rye Lee

  4. Department of Mathematics, Adhiyamaan College of Engineering, Hosur, Tamil Nadu, India

    Arusamy Mohanapriya

  5. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea

    Choonkil Park

Authors
  1. Anumanthappa Ganesh
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  2. Vediyappan Govindan
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  3. Jung Rye Lee
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  4. Arusamy Mohanapriya
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  5. Choonkil Park
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Contributions

The authors equally conceived of the study, participated in its design and coordination, drafted the manuscript, participated in the sequence alignment, and read and approved the final manuscript.

Corresponding author

Correspondence to Choonkil Park.

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Ganesh, A., Govindan, V., Lee, J.R. et al. Mittag–Leffler–Hyers–Ulam Stability of Delay Fractional Differential Equation via Fractional Fourier Transform. Results Math 76, 180 (2021). https://doi.org/10.1007/s00025-021-01491-6

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