Results 61 to 70 of about 728,619 (184)
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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Analytical Solution for Telegraph Equation by Modified of Sumudu Transform "Elzaki Transform" [PDF]
, 2012 In this work modified of Sumudu transform [10,11,12] which is called Elzaki transform method ( new integral transform) is considered to solve general linear telegraph equation, this method is a powerful tool for solving differential equations and ...
Elzaki, Tarig. M., Hilal, Eman M. A.
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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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RESOLVING DELAY DIFFERENTIAL EQUATIONS WITH HOMOTOPY PERTURBATION AND SUMUDU TRANSFORM
, 2023 A novel proposition has been introduced in this study for resolving delay differential equations (DDEs) of nature that is a composite in reference to Homotopy perturbation method (HPM) along with Sumudu transform.
Ahmad, Rokiah Rozita +3 more
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On Properties of ®-Sumudu Transform and Applications
, 2021 The ®-Sumudu transform is defined and its properties areproved. ®-Sumudu transform of convolution product and composition offunctions is obtained.
N.G. Patil; Department of Applied Sciences, MBES College of Engineering, Ambajogai Dt.Beed (M.S)- 413 517, +1 more
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Mittag‐Leffler Algorithm to Solve Linear Fractional Ordinary Differential Equations
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the analytical solution of linear homogeneous fractional ordinary differential equations with constant coefficients using the Mittag‐Leffler function method (M‐LFM). Fractional ODEs play an important role in modeling dynamic systems in science, engineering, and applied mathematics.
Leticia Amanor +3 more
wiley +1 more source
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
wiley +1 more source
An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform
Abstract and Applied Analysis, 2013 An efficient approach based on homotopy perturbation method by using sumudu transform is proposed to solve nonlinear fractional Harry Dym equation. This method is called homotopy perturbation sumudu transform (HPSTM).
Devendra Kumar +2 more
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Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform
Alexandria Engineering Journal, 2018 Principle aim of the present study is to develop fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Also, the graphical interpretation of the solutions by employing MATLAB is given.
P. Agarwal +4 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.It is highly challenging to examine solutions to fractional differential equations. Mathematicians face various challenges, especially when trying to solve fractional partial differential equations. There are now a lot of models in fractional calculus that need to be developed, investigated, and applied in real‐world situations in various scientific ...
Mashael M. AlBaidani +3 more
wiley +1 more source