Results 51 to 60 of about 370 (165)
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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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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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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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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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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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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Numerical approximation of Newell-Whitehead-Segel equation of fractional order
Nonlinear Engineering, 2016 The aim of the present work is to propose a user friendly approach based on homotopy analysis method combined with Sumudu transform method to drive analytical and numerical solutions of the fractional Newell-Whitehead-Segel amplitude equation which ...
Kumar Devendra, Sharma Ram Prakash
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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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Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb +2 more
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