Is there an inverse Laplace Transform of -a * e^(-b * x^c)

bamakhosimz

bamakhosimz

Answered question

2022-09-09

Is there an inverse Laplace Transform of a e b x c , where a,b and c are constants, in my case its: a=−0.9898;b=0.3511;c=0.2553

Answer & Explanation

Sugainkohr

Sugainkohr

Beginner2022-09-10Added 13 answers

Suggestion:
Use the Taylor expansion for the exponential function:
e b x c = k = 0 ( b x c ) k k ! = k = 0 ( b ) k x c k k !
Now, invert each of the parcels in the sum and see if you get something that converges.

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