Results 51 to 60 of about 728,619 (184)
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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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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Sumudu transform fundamental properties investigations andapplications
International Journal of Stochastic Analysis, 2006 The Sumudu transform, whose fundamental properties are presented in this paper, is still not widely known, nor used. Having scale and unit‐preserving properties, the Sumudu transform may be used to solve problems without resorting to a new frequency domain.
Belgacem, Fethi Bin Muhammed +1 more
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On Properties of α-Sumudu Transform and Applications
Punjab University Journal of Mathematics, 2021 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.
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Ain Shams Engineering Journal, 2023 In this paper, we describe a novel approach for solving one-dimensional regular and singular conformable functional Burger’s equations, which we call the conformable double Sumudu composition method.
Mohamed Z. Mohamed +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam +3 more
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On the Sumudu Transform and Its Extension to a Class of Boehmians [PDF]
ISRN Mathematical Analysis, 2014 Boehmians are used for all objects obtained by an algebraic construction similar to that of the field of quotients. In literature, several integral transforms have been extended to various Boehmian spaces but a few to the space of strong Boehmians. As shown in the work of Al-Omari (2013), this work describes certain spaces of Boehmians.
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RBF‐Based Numerical Solution for Nonlinear Volterra Integral Equation Systems of the Second Kind
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper presents a numerical method for solving systems of nonlinear Volterra integral equations of the second kind using compactly supported radial basis functions (RBFs). Such equations often appear in population models, epidemic dynamics, viscoelastic processes, and nonlinear transport, where the unknown function enters the kernel in a nonlinear ...
M. Yasin +4 more
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An efficient hybrid technique for the solution of fractional-order partial differential equations
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations.
H.K. Jassim +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2 + 1)–dimensional singular pseudoparabolic equations in both linear and nonlinear forms. The work begins by outlining the fundamental definitions, theorems, and characteristics of the single ARA and ...
Rania Saadeh +4 more
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