We then calculate the wave function of the time fractional Schrdinger using the inverse Laplace transform together considering the Schouten-Vanderpol theorem and some special circumstances of the problem. The obtained results show that for different values of the time fractional parameter, the ...
All plots in this work have been generated bymatplotlib[84], which is an open-source Python 2D plotting library, producing publication-quality figures in a variety of hardcopy formats and interactive environments across platforms. Instead, illustration sketches have been created by LatexDraw [9], a...
being F ( s ) = s − α the Laplace transform of the kernel t α − 1 / Γ ( α ) in (1). The assumptions that make possible this generalization of LMMs are that the generating function δ ( ξ ) has no zeros in the closed unit disc | ξ | ≤ 1 , except for ξ = ...
Beyond these, the above framework can be extended to the numerical solution of stochastic [4] and inverse problems [5,6] as well. A possible shortcut of this procedure is to seek approximations only from a class of functions that satisfy the governing equation exactly. In this case, we ...