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DOUBLE SUMUDU INTEGRAL TRANSFORM ON TIME SCALES WITH APPLICATIONS

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In this paper, we introduce an extension of the double Sumudu transform on time scales. The fundamental properties of the double Sumudu transform are established, including its existence, shifting property, transform of the derivative, and convolution theorem.The double Sumudu transform is demonstrated to be an effective and efficient technique for solving partial and partial-integro dynamic equations on time scales.
Title: DOUBLE SUMUDU INTEGRAL TRANSFORM ON TIME SCALES WITH APPLICATIONS
Description:
In this paper, we introduce an extension of the double Sumudu transform on time scales.
The fundamental properties of the double Sumudu transform are established, including its existence, shifting property, transform of the derivative, and convolution theorem.
The double Sumudu transform is demonstrated to be an effective and efficient technique for solving partial and partial-integro dynamic equations on time scales.

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