Solving special fractional differential equations by Sumudu transform

2012 ◽  
Author(s):  
Pranay Goswami ◽  
F. B. M. Belgacem
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Sumudu Transform ◽  
Fractional Differential

scholarly journals The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Abdon Atangana ◽  
Adem Kılıçman
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Variable Coefficients ◽  
Fractional Partial Differential Equations ◽  
Science And Engineering ◽  
Transform Method ◽  
Homotopy Perturbation ◽  
Sumudu Transform ◽  
Fractional Differential ◽  
Linear And Nonlinear

We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering.

scholarly journals A Note on Fractional Sumudu Transform

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
V. G. Gupta ◽  
Bhavna Shrama ◽  
Adem Kiliçman
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Fractional Differential Equations ◽  
Inversion Formula ◽  
Differentiable Functions ◽  
Liouville Derivative ◽  
Fractional Analysis ◽  
Sumudu Transform ◽  
Fractional Differential ◽  
Definition Of

We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.

Sign in / Sign up

Export Citation Format

Share Document