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Further distinctive investigations of the Sumudu transform
AIP Conference Proceedings, 2017The Sumudu transform of time function f (t) is computed by making the transform variable u of Sumudu as factor of function f (t) and then integrated against exp(−t). Being a factor in the original function f (t), becomes f (ut) preserves units and dimension. This preservation property distinguishes Sumudu from other integral transforms.
Fethi Bin Muhammad Belgacem +1 more
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Inversion Theorem of Fractional Sumudu–Fourier Transform
The Fractional Sumudu–Fourier Transform (FrSFT) is a useful integral transform that combines the important features of the Sumudu Transform and the Fractional Fourier Transform. It provides an effective approach for studying functions with fractional and oscillatory behaviour and has potential applications in mathematics, signal processing, and ...A. N. Rangari +2 more
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The ‘Sumudu transform’ and the Laplace transform
International Journal of Mathematical Education in Science and Technology, 1997openaire +1 more source
Sumudu transform of Weierstrass function
2016Belgacem, Fethi Bin Muhammad +2 more
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BEYOND SUMUDU TRANSFORM AND NATURAL TRANSFORM: $ {\mathbb J} $-TRANSFORM PROPERTIES AND APPLICATIONS
Journal of Applied Analysis and Computation, 2020exaly