Analytical Solutions for the Nonlinear Homogeneous Fractional Burger's Equation using a Local Fractional Operator

AR Saeid, LK Alzaki - 2024 8th International Symposium on …, 2024 - ieeexplore.ieee.org
The approach for resolving a nonlinear Burger's equations using fractional natural variation
iterations is proposed in this article. We suggest the FNVIM, a recombination method of the …

Optimal error bound and modified kernel method for a space-fractional backward diffusion problem

S Liu, L Feng - Advances in Difference Equations, 2018 - Springer
In this paper, we consider a backward problem for a space-fractional diffusion equation. This
problem is ill-posed, ie, the solution does not depend continuously on the data. The optimal …

[PDF][PDF] The local fractional natural transform and its applications to differential equations on Cantor sets

D Ziane, MH Cherif - pisrt.org
The work that we have done in this paper is the coupling method between the local
fractional derivative and the Natural transform (we can call it the local fractional Natural …