Results 41 to 50 of about 370 (165)
A computational approach for fractional convection-diffusion equation via integral transforms
Ain Shams Engineering Journal, 2018 In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
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A comparative study to solve fractional initial value problems in discrete domain
Open Engineering, 2023 In this article, we used some methods to solve Riemann-type fractional difference equations. Firstly, we use a method that is a composite method based on the successive approximation method with the Sumudu transform.
Abed Alaa Mohsin +2 more
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Approximating the finite Mellin and Sumudu transforms utilizing wavelet transform
Filomat, 2020 In this study, some approximates for the finite Wavelet transform of different classes of absolutely continues mappings are presented using Wavelet transform of unit function. Then, with the help of these approximates, some other approximates for the finite Mellin and Sumudu transforms are given.
Usta, Fuat +2 more
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan +3 more
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On q-Sumudu transforms of certain q-polynomials
Filomat, 2013 Although Sumudu transform is the theoritical dual of the Laplace transform, it has many applications in sciences and engineering for its special fundamental properties. In a previous paper (3), we studied q-analogues of the Sumudu transform and derived some fundamental properties.
Durmuş Albayrak +2 more
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On the Double of the Laplace–Mayan Transformation and Its Properties With Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this study, we have been able to extend the concept of a Mayan integral transform for a one‐dimensional Mayan integral transform to a two dimensional, also called the double Laplace–Mayan integral transform. Some key concepts, definitions, and theorems for the double Laplace–Mayan transform have also been defined in this study.
Eman A. Mansour +5 more
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Note on transport equation and fractional Sumudu transform
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kadem, Abdelouahab, Kilicman, Adem
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali +2 more
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Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations [PDF]
Mathematics and Computational SciencesThis paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform.
Jagdish Nanaware, Akshaykumar Dongardive
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Nonlinear Engineering, 2020 In this paper, homotopy perturbation sumudu transform method (HPSTM) is proposed to solve fractional attractor one-dimensional Keller-Segel equations.
Sharma Dinkar +2 more
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