scholarly journals The solution of the time-fractional diffusion equation by the generalized differential transform method

2013 ◽  
Vol 57 (9-10) ◽  
pp. 2349-2354 ◽  
Author(s):  
Ayşegül Çetinkaya ◽  
Onur Kıymaz
Keyword(s):  
Diffusion Equation ◽  
Fractional Diffusion ◽  
Differential Transform Method ◽  
Fractional Diffusion Equation ◽  
Transform Method ◽  
Differential Transform ◽  
Time Fractional Diffusion Equation ◽  
Generalized Differential

scholarly journals An Analytical Solution of a Time-fractional Diffusion Equation Withexternal Force and Absorbent Term by Generalized Two-dimensional differential Transform Method

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Diffusion Equation ◽  
Initial Conditions ◽  
Fractional Diffusion ◽  
Differential Transform Method ◽  
Fractional Diffusion Equation ◽  
Transform Method ◽  
Differential Transform ◽  
Time Fractional Diffusion Equation ◽  
Generalized Differential ◽  
External Forces

In this paper, we have used generalized differential transform method in obtaining a general recurrencerelation for determining the solutions of time fractional diffusion equation with external force and absorbent term.Diffusion equations play an improtant part in energy transfer problems. Inclusion of fractional derivatives bring thenon-locality aspect into the physical system containing this equation. The obtained relation will help us to solvesuch equations with various external forces and initial conditions. Three illustrative examples have been discussed.

Sign in / Sign up

Export Citation Format

Share Document