Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics


Affiliations

  • Datta Meghe Institute of Engineering, Technology and Research, Department of Mathematics, Wardha, India
  • Government Science College, Department of Mathematics, Gadchiroli, India

Abstract

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

Subject Discipline

Mathematical Sciences

Full Text:

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