Abstract
The α-Sumudu transform is defined and its properties are
proved. α-Sumudu transform of convolution product and composition of
functions is obtained. The α-Sumudu transform of Riemann-Liouville
integral and derivatives of fractional order are determined. As an application, the solution of Initial Value Problems with Riemann-Liouville derivative of fractional order is obtained. .
Publisher
Department of Mathematics, University of the Punjab
Reference31 articles.
1. Z. Al-Zhour, F. Alrawajeh, N. Al-Mutairi and R. Alkhasawneh, New Results on the Conformable Fractional Sumudu Transform, Theories and Applications, Int. J. Anal. Appl., 17, No. 6(2019) 1019-1033.
2. Z. Al-Zhour, N. Al-Mutairi, F. Alrawajeh, R. Alkhasawneh, Series Solutions for the Laguerre and LaneEmden Fractional Differential Equations in the Sense of Conformable Fractional Derivative, Alexandria Eng. J., 8, No.4 (2019) 1413-1420.
3. Z. Al-Zhour, Fundamental fractional exponential matrix: New computational formulae and electrical applications, Int.J. Electron. Commun.(AEU), 129 (2021) 153557.
4. Z. Al-Zhour, N. Al-Mutairi, F. Alrawajeh, R. Alkhasawneh, New Theoretical Results and Applications on Conformable Fractional Natural Transform, Ain Shams Eng. J., 21, No.1 (2021) 927-933.
5. M. Baloch, S. Iqbal ,F. Sarwar and Abdul Rehman,The Relationship of Fractional Transform with Fractional Fourier,Mellin and Sumudu Transforms, American Scie. Research J. Engi., Tech. Sci.(ASRJETS), 55,No. 1(2019) 11-16.
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