Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics
Authors
-
Department of Mathematics, Datta Meghe Institute of Engineering Technology and Research, Wardha, M.S. ,IN
Ranjit R. Dhunde -
Department of Mathematics, Government Science College, Gadchiroli, M.S. ,ING. L. Waghmare
DOI:
https://doi.org/10.18311/jims/2018/20144Keywords:
Double Laplace Transform, Inverse Laplace Transform, Fractional Partial Differential Equation, Caputo Fractional DerivativesAbstract
In this article, we use double Laplace transform method to find solution of general linear fractional partial differential equation in terms of Mittag-Leffler function subject to the initial and boundary conditions. The efficiency of the method is illustrated by considering fractional wave and diffusion equations, Klein-Gordon equation, Burger's equation, Fokker-Planck equation, KdV equation, and KdV-Burger's equation of mathematical physics.
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Copyright (c) 2018 Ranjit R. Dhunde, G. L. Waghmare
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023-01-30
Published 2018-06-01
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