Open AccessSOME NEW APPLICATIONS OF LAPLACE-WEIERSTRASS TRANSFORM
Author(s) -
V. N. Mahalle,
S. S. Mathurkar,
R. D. Taywade
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.1-a02
Subject(s) - laplace transform , cauchy distribution , laplace transform applied to differential equations , mathematics , two sided laplace transform , mellin transform , mathematical analysis , green's function for the three variable laplace equation , linear differential equation , laplace's equation , cauchy problem , cauchy's integral formula , initial value problem , d'alembert's formula , inverse laplace transform , differential equation , fourier transform , ordinary differential equation , fractional fourier transform , fourier analysis , differential algebraic equation
This paper is devoted to some new applications of Laplace-Weierstrass transform (i.e., for solving two dimensional diffusion equations). Solution of Cauchy’s linear differential equation is also given. Some results are also given which are required for solving Cauchy’s linear differential equation.