In this study, the author used the joint Fourier- Laplace transform to solve non-homogeneous time fractional first order partial differential equation with non-constant coefficients. Constructive examples are also provided throughout the paper. It is a remarkable feature of the first order fractional differential equations that a procedure can be developed for solving this equation, regardless of its complexity.
The author would like to thank the anonymous referees and editors for their valuable comments and useful suggestions that lead to a vast improvment in the paper.
"Solution to time fractional non homogeneous first order PDE with non constant coefficients." Tbilisi Math. J. 12 (4) 205 - 211, October 2019. https://doi.org/10.32513/tbilisi/1578020577