The Study of a Fractional Model of Diffusion Equation and its Analytical Solution using Laplace Transforms

Vol-5 | Issue-8 | August-2020 | Published Online: 17 August 2020    PDF ( 306 KB )
DOI: https://doi.org/10.31305/rrijm.2020.v05.i08.054
Author(s)
Sukhen Bhattacharyya 1

1Research Scholar, Department of Mathematics, Sri SatyaSai University of Technology & Medical Sciences, Sehore, Bhopal-Indore Road, Madhya Pradesh, India

Abstract

In this article, we will look at some of the results related to fractional Laplace variation with an exaggerated ability to cope with the specific conditions of a fractional differential. Mittag-Leffler's work suggests a significant role in Laplace's fractional changes to discover the structure of the differential conditions of the fractional query. HPTM is a combination of Laplace's transformation process and homeopathic parteratin. Numerical solutions understood by the Recommended solutions point out that the method is simple to realize and is being improved. Here we solve several problems related to the differential condition of a fractional query using the fractional Laplace transform with initial conditions.

Keywords
Fraction model, diffusion equation, Laplace transforms.
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