Abstract
In their remarkable paper, Fazli et al. (Int J Comput Math, 2019. https://doi.org/10.1080/00207160.2019.1658870) have recently established existence results for fractional Basset–Boussinesq–Oseen equation in an appropriate partially ordered Banach space. In this paper, we improve this study by proposing different approach that provides existence criterion for the addressed equation. The main assumptions are less restrictive and easily verifiable. Examples with graphical representations are constructed to demonstrate consistency to theoretical findings. Besides, we construct an iterative sequence that converges to the unique solution. We end the paper by a conclusion that demonstrates the advantage of our theorem compared to the previous results.
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The authors would like to thank the editor who handled our paper during the reviewing process. Particular thanks go to the anonymous referees who read, review and evaluate our work. The second author would like to thank Prince Sultan University for supporting this work through research group Nonlinear Analysis Methods in Applied Mathematics(NAMAM) Group Number RG-DES-2017-01-17.
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Baghani, H., Alzabut, J. & Nieto, J.J. Further Results on the Existence of Solutions for Generalized Fractional Basset–Boussinesq–Oseen Equation. Iran J Sci Technol Trans Sci 44, 1461–1467 (2020). https://doi.org/10.1007/s40995-020-00942-z
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DOI: https://doi.org/10.1007/s40995-020-00942-z