Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
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Temel Bulgular & Veri:Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives.
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Sonuç & Katkı:Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.
🔬Tür:Research Article
📍Kapsam:2020 Verileri
⚙️Değişkenler:gamma function · laplace transform · sumudu transform
Abstract
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives. Moreover, we attain two shifting properties and a scale preserving theorem for the modified Sumudu transform. We give modified inverse Sumudu transform and investigate some relations and examples. Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.
Duran, U. (2021). Modified Sumudu Transform and Its Properties. Sakarya University Journal of Science, Volume: 25 Issue: 2. https://doi.org/10.16984/saufenbilder.825180
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