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Robust duality in multi-dimensional vector fractional variational control problem

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Abstract

This paper deals with the investigation of vector fractional variational control problem taking data uncertainty into account. Several kinds of dual for fractional variational problems have been explored in the literature. Here, the Wolfe type dual of the problem under consideration is formulated. Moreover, significant duality results are developed for the purpose of extending the theorems to wider areas by assuming the involved functionals to be convex. Further, an illustrative example is provided to validate the results obtained.

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Acknowledgements

The authors are thankful to the learned reviewers for their conducive comments which helped in improving the research paper.

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No funding was received for conducting this study.

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Authors and Affiliations

  1. Applied Sciences and Humanities, Indira Gandhi Delhi Technical University for Women, Delhi, 110006, India

    Ritu Bagri & Geeta Sachdev

  2. Department, University Politehnica of Bucharest, 10587, Bucharest, Romania

    Savin Treanţă

  3. Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest, Romania

    Savin Treanţă

  4. Fundamental Sciences Applied in Engineering Research Center (SFAI), University Politehnica of Bucharest, Bucharest, Romania

    Savin Treanţă

  5. Amity Institute of Applied Sciences, Amity University, Noida, 201301, India

    Divya Agarwal

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  1. Ritu Bagri
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  2. Savin Treanţă
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  3. Divya Agarwal
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  4. Geeta Sachdev
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All four authors have contributed equally to all aspects of the paper. 1. Ritu Bagri. 2. Savin Treanţă. 3. Divya Agarwal. 4. Geeta Sachdev.

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Correspondence to Geeta Sachdev.

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Bagri, R., Treanţă, S., Agarwal, D. et al. Robust duality in multi-dimensional vector fractional variational control problem. OPSEARCH (2024). https://doi.org/10.1007/s12597-024-00756-2

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