October 2019 Solution to time fractional non homogeneous first order PDE with non constant coefficients
Arman Aghili
Tbilisi Math. J. 12(4): 205-211 (October 2019). DOI: 10.32513/tbilisi/1578020577

Abstract

In this study, the author used the joint Fourier- Laplace transform to solve non-homogeneous time fractional first order partial differential equation with non-constant coefficients. Constructive examples are also provided throughout the paper. It is a remarkable feature of the first order fractional differential equations that a procedure can be developed for solving this equation, regardless of its complexity.

Acknowledgment

The author would like to thank the anonymous referees and editors for their valuable comments and useful suggestions that lead to a vast improvment in the paper.

Citation

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Arman Aghili. "Solution to time fractional non homogeneous first order PDE with non constant coefficients." Tbilisi Math. J. 12 (4) 205 - 211, October 2019. https://doi.org/10.32513/tbilisi/1578020577

Information

Received: 9 September 2019; Accepted: 2 November 2019; Published: October 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07179181
MathSciNet: MR4047585
Digital Object Identifier: 10.32513/tbilisi/1578020577

Subjects:
Primary: 26A33
Secondary: 44A10 , 44A15 , 44A35

Keywords: Bromwich integral , Fourier transform , inviscid interface , Kelvin's function , Laplace transform , modified Bessel's function of the second kind

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 4 • October 2019
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