A New More General Integral Transform: Sharad Transform and Its Applications
In this paper, we are presenting the new broad essential transform called the Sharad transform. Additionally, we demonstrated a few theorems and properties, similar to the linearity property and the convolution theorem. Additionally, we fostered a connection between the new transform and another old useful transform, similar to the Laplace transform, the Sumudu transform, the natural transform, the Elzaki transform, the Abhoodh transform, the Formable transform, and so forth. Here we presume that these transforms are the extraordinary instances of the new broad basic transform, the Sharad transform. This transform is applied to ordinary differential equations and partial differential equations. This transform will be utilised in the future to tackle a lot more the ordinary differential equations, the partial differential equations, integro-differential equations, fractional differential equations, difference equations, differential-difference equations, and so forth.
Authors
- Dinkar Patil
- Sharad B. Ugale (ORCID: https://orcid.org/0000-0002-7949-3228)
Institutions
- Savitribai Phule Pune University (IN)
Publication Details
- Journal
- Communications in Mathematics and Applications
- Published
- 2024-12-15
- DOI
- https://doi.org/10.26713/cma.v15i4.3259
- Primary Topic
- Image and Signal Denoising Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00