Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain

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URI: http://hdl.handle.net/10347/29202
ISSN: 1311-0454
E-ISSN: 1314-2224
DOI: 10.1007/s13540-022-00021-7

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2022

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Springer
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In this paper, we investigate the solution of multi-term time-space fractional partial delay differential-algebraic equations (MTS-FPDDAEs) with Dirichlet boundary conditions defined on a finite domain. We use Laplace transform method to give the solutions of multi-term time fractional delay differential-algebraic equations (MTS-FDDAEs). Then, the technique of spectral representation of the fractional Laplacian operator is used to convert the MTS-FPDDAEs into the MTS-FDDAEs. By applying our obtained solutions to the resulting MTS-FDDAEs, the desired analytical solutions of the MTS-FPDDAEs are obtained. Finally, we give the solutions of some special cases

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Fractional partial differential-algebraic equations with delays| Dirichlet boundary condition| Fractional Laplacian operator| Spectral representation| Analytical solution

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Fractional Calculus and Applied Analysis 25, 408–438 (2022). https://doi.org/10.1007/s13540-022-00021-7

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This work was supported by the Natural Science Foundation of China (NSFC) under grants 11871400. The work of J.J. Nieto has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain under Grant PID2020-113275GB-I00 and co-financed by European Community fund FEDER and by Xunta de Galicia, grant ED431C 2019/02. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature

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© The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/

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