Aboodh transform

The Aboodh transform is a type of integral transform. Khalid Suliman Aboodh formulated it in 2013. It is defined as a set

$A=\{f(t):\ni M,a,b>0,|f(t)|<M{e}^{-vt}\}$

$a\le v\le b$

$A[f(t)]=\frac{1}{v}\underset{0}{\overset{\mathrm{\infty }}{\int }}f(t)e^{-vt}dt$

The Aboodh transform has been used in fields such as the double, triple, and quadruple Aboodh transforms, fuzzy logic and fractional theory. Patil compared it to the Laplace transform.