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October 2019 Blow-up solutions of a time-fractional diffusion equation with variable exponents
J. Manimaran, L. Shangerganesh
Tbilisi Math. J. 12(4): 149-157 (October 2019). DOI: 10.32513/tbilisi/1578020574

Abstract

In this paper, we investigate the blow-up of solutions of a time-fractional nonlocal reaction-diffusion equation with variable exponents under the Dirichlet boundary condition. We prove the existence of a solution using the Banach fixed point theorem. Finally, we estimate the blow-up of solutions of the considered model using the Kaplan method.

Acknowledgment

The authors would like to express their sincere gratitude the referee for his/her careful reading and kind suggestions.

Citation

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J. Manimaran. L. Shangerganesh. "Blow-up solutions of a time-fractional diffusion equation with variable exponents." Tbilisi Math. J. 12 (4) 149 - 157, October 2019. https://doi.org/10.32513/tbilisi/1578020574

Information

Received: 31 March 2019; Accepted: 5 November 2019; Published: October 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07179178
MathSciNet: MR4047582
Digital Object Identifier: 10.32513/tbilisi/1578020574

Subjects:
Primary: 35B44
Secondary: 35K57, 35R11

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 4 • October 2019
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