New general integral transform on time scales

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Thange Tukaram G.; Chhatraband Sneha M.

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Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2024 | Volume:12 | Issue:4 Page(s): 655-669

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Information Journal Paper

Title

New general integral transform on time scales

Author(s)

Thange Tukaram G. | Chhatraband Sneha M. | Issue Writer Certificate

Keywords

Time scales

Integral transform

Dynamic equations

Abstract

In this paper, we introduce a single Integral transform that defines all known Time scales generalized Integral transforms in the family of Laplace transform as the new general Integral transform on Time scales. As a result, a unified approach is developed for the use of Integral transforms representing the family of Laplace transform for solving problems on continuous and discrete cases dynamics. The convergence conditions and some principal properties accompanying the convolution theorem are given. It is shown that all generalized Integral transforms on Time scales included in the family of the Laplace transform are special cases of a new general Integral transform. The applicability of this transform is demonstrated by solving certain ordinary Dynamic equations and integral equations.

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