Abstract
In this paper, we study the time-fractional diffusion equation on a metric star graph. The existence and uniqueness of the weak solution are investigated and the proof is based on eigenfunction expansions. Some priori estimates and regularity results of the solution are proved.
Keywords
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Acknowledgements
The author would like to thank the Indo-German exchange program “Multiscale Modelling, Simulation and Optimization for Energy, Advanced Materials and Manufacturing”. The program (grant number 1-3/2016 (IC)) is funded by University Grants Commission (India) and DAAD (Germany). The coordination of the program through the “Central Institute for Scientific Computing” at FAU, Erlangen is acknowledged.
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Mehandiratta, V., Mehra, M., Leugering, G. (2021). Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph. In: Awasthi, A., John, S.J., Panda, S. (eds) Computational Sciences - Modelling, Computing and Soft Computing. CSMCS 2020. Communications in Computer and Information Science, vol 1345. Springer, Singapore. https://doi.org/10.1007/978-981-16-4772-7_2
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DOI: https://doi.org/10.1007/978-981-16-4772-7_2
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