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Numerical Laplace inverse based on operational matrices for fractional differential equations

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Abstract

In this paper, an effective numerical method for determining the numerical inversion of the Laplace transform is presented, and its applicability to fractional differential equations is also investigated. To show the effectiveness and simplicity of the suggested technique, numerical examples are provided. Through error tables and graphical representations, the suggested numerical technique shows high accuracy. This proposed numerical approach is simple and ideal for MATLAB programming.

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Data Availability

All the data used for the numerical simulations and comparison purpose have been reported in the tables included and visualized in the graphical illustrations and nothing is left.

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Acknowledgements

The authors are grateful to the anonymous reviewers for several comments and suggestions which contributed to the improvement of this paper.

Funding

The authors received no financial support for the research, authorship and/or publication of this article.

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Authors and Affiliations

  1. Department of Mathematics, Government Arts College (Autonomous), (Affiliated to Bharathidasan University, Tiruchirapalli), Kumbakonam, Tamil Nadu, 612 002, India

    G. Jasmine, K. Balaji & R. Aruldoss

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  1. G. Jasmine
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  2. K. Balaji
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  3. R. Aruldoss
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Contributions

All authors contributed equally in developing the whole article and granted all the obtained results and revisions. Specifically, G. Jasmine, K. Balaji and R. Aruldoss were involved in conceptualization; G. Jasmine, K. Balaji and R. Aruldoss helped in methodology; G. Jasmine, K. Balaji and R. Aruldoss contributed to software; Validation was done by G. Jasmine, K. Balaji and R. Aruldoss; G. Jasmine, K. Balaji and R. Aruldoss helped in writing—original draft preparation; G. Jasmine, K. Balaji and R. Aruldoss helped in writing—review and editing.

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Correspondence to G. Jasmine.

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Jasmine, G., Balaji, K. & Aruldoss, R. Numerical Laplace inverse based on operational matrices for fractional differential equations. Int. J. Dynam. Control 12, 75–84 (2024). https://doi.org/10.1007/s40435-023-01333-z

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  • DOI: https://doi.org/10.1007/s40435-023-01333-z

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