Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions

The effect of New Integral transform on the establishment of solutions for fractional mathematical models

“…In the modelling of various processes in mathematics physics, biology, dynamical systems, control systems, engineering and so on 1,2,3,4,5,6,7,8 , fractional partial differential equations are utilized since the results of fractional mathematical models have better results than other mathematical models. Therefore quite a few research such as existence, uniqueness and regularity of solutions, on the processes of heat diffusion, modelled by fractional differential equations 9,10,11 .…”