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math.AP2024
Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +3
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using F…
math.AP2024
Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +2
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-o…