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Existence, Stability and Controllability Results of Coupled Fractional Dynamical System on Time Scales

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Abstract

In this work, we establish existence, uniqueness, Hyer-Ulam (HU) stability and controllability results for a coupled fractional dynamical system on time scales. Some fixed point theorems and nonlinear functional analysis have been used to establish these results. Also, we have given an example for different time scales, to show the applications of these obtained analytical results.

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Acknowledgements

The authors would like to express their sincere thanks to the associate editor and anonymous reviewers for constructive comments and suggestions to improve the quality of this manuscript. The research of “Vipin Kumar” is supported by the University Grants Commission of India under the fellowship Number 2121540900, Ref. no. 20/12/2015 (ii) EU-V.

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  1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, H. P., India

    Muslim Malik & Vipin Kumar

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  1. Muslim Malik
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  2. Vipin Kumar
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Correspondence to Muslim Malik.

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Communicated by Norhashidah Hj. Mohd. Ali.

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Malik, M., Kumar, V. Existence, Stability and Controllability Results of Coupled Fractional Dynamical System on Time Scales. Bull. Malays. Math. Sci. Soc. 43, 3369–3394 (2020). https://doi.org/10.1007/s40840-019-00871-0

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