| The main purpose of this work is to introduce a novel transform known as Wisam transform (W - transform), that is defined as:
W[h(t)](r,φ) = H(r,φ) = φ
r−1Z∞ −t/φr
e h(t)dt, r,φ > 0.
0
We explain its basic properties and prove some important results, including the linearity property, the existence theorem, the convolution theorem, and the properties of derivatives. Furthermore, the new transform is applied to the solution of some ordinary differential equations (ODEs). The ability of this proposed integral transform to transform ordinary differential equations into solvable algebraic equations is demonstrated. |
