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.

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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
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article

A New More General Integral Transform: Sharad Transform and Its Applications

Dinkar Patil, Sharad B. Ugale
Communications in Mathematics and Applications
Image and Signal Denoising Methods
article

A New More General Integral Transform: Sharad Transform and Its Applications

Dinkar Patil, Sharad B. Ugale
article en

Abstract

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.

Communications in Mathematics and ApplicationsVol. 15(4)
Savitribai Phule Pune University (IN)
Openalex Percentile: Top 69%
Image and Signal Denoising Methods
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A New More General Integral Transform: Sharad Transform and Its Applications — Dinkar Patil, Sharad B. Ugale · Communications in Mathematics and Applications (2024) | TGRS Research Map | TGRS