Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph

Mehandiratta V, Mehra M, Leugering G (2021)


Publication Type: Conference contribution

Publication year: 2021

Journal

Publisher: Springer Science and Business Media Deutschland GmbH

Book Volume: 1345

Pages Range: 25-41

Conference Proceedings Title: Communications in Computer and Information Science

Event location: Virtual, Online

ISBN: 9789811647710

DOI: 10.1007/978-981-16-4772-7_2

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.

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APA:

Mehandiratta, V., Mehra, M., & Leugering, G. (2021). Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph. In Ashish Awasthi, Sunil Jacob John, Satyananda Panda (Eds.), Communications in Computer and Information Science (pp. 25-41). Virtual, Online: Springer Science and Business Media Deutschland GmbH.

MLA:

Mehandiratta, Vaibhav, Mani Mehra, and Günter Leugering. "Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph." Proceedings of the 1st International Conference on Computational Sciences - Modelling, Computing and Soft Computing, CSMCS 2020, Virtual, Online Ed. Ashish Awasthi, Sunil Jacob John, Satyananda Panda, Springer Science and Business Media Deutschland GmbH, 2021. 25-41.

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