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Solution to time fractional non homogeneous first order PDE with non constant coefficients. (English) Zbl 1436.35309
Summary: 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.
35R11 Fractional partial differential equations
44A10 Laplace transform
44A15 Special integral transforms (Legendre, Hilbert, etc.)
44A35 Convolution as an integral transform
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