Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative

• Main Authors: Ahmood, Wasan Ajeel, Kilicman, Adem
• Format: Conference or Workshop Item
• Language: English
• Published: AIP Publishing 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/57520/1/Some%20applications%20of%20the%20multi-dimensional%20fractional%20order%20for%20the%20Riemann-Liouville%20derivative.pdf; http://psasir.upm.edu.my/id/eprint/57520/

In this paper, the aim of this work is to study theorem for the one-dimensional space-time fractional deriative, generalize some function for the one-dimensional fractional by table represents the fractional Laplace transforms of some elementary functions to be valid for the multi-dimensional fractional Laplace transform and give the definition of the multi-dimensional fractional Laplace transform. This study includes that, dedicate the one-dimensional fractional Laplace transform for functions of only one independent variable and develop of the one-dimensional fractional Laplace transform to multi-dimensional fractional Laplace transform based on the modified Riemann-Liouville derivative.