I can't even get an inverse Laplace for this expression numerically in mathematica, is there a way to inverse this equation below?
I have also tried to use fixt talbot package for a numerical calculation and it was not possible to get an answer. I also struggled with the options presented here, but I was not successful
1/s^(5/4) (0.0048093124845766414` + 0.02440766170480293` s^(1/4) + 0.012905621492995754` E^(-35.` s) s^(1/4) + 0.0032916706480934036` E^(0.7079967811634376` s) s^(1/4) Gamma[0.`, 35.70799678116344` s] - 0.0053059348427644286` Gamma[1.25`, 35.` s])
InverseLaplaceTransform[ s^(5/4)/(0.0048093124845766414 + 0.02440766170480293s^(1/4) + 0.012905621492995754 E^(-35. s) s^(1/4) +0.0032916706480934036 E^(0.7079967811634376 s) s^(1/4)Gamma[0, 35.70799678116344 s] - 0.0053059348427644286 Gamma[1.25, 35. s]), s, t]
Update: The first one works in Mathematica version 13.1. but the second one still not.
I think because the inverse of some functions is conditional in this case, we get InverseLaplaceTransform [of something that is defined in some cases and undefined in others] printed after we excite the code.
Getting an answer is only possible if the basis of the variables is defined. I think that is the point, but it is only possible in version 13.1, not in the previous version.