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Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics
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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.
Keywords
Double Laplace Transform, Inverse Laplace Transform, Fractional Partial Differential Equation, Caputo Fractional Derivatives.
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