Results 81 to 90 of about 1,994 (230)
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
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study examined the multidimensional fractional diffusion equations that characterize the density dynamics in a diffusing medium utilizing the exact and analytical Aboodh transform decomposition method (ATDM). The Caputo–Fabrizio (CF) derivative is utilized to account for the fractional derivative that is being employed here.
Yasin Şahin +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This research introduces the nonconformable fractional Sumudu transform (NCFST) methodology. We used the above strategy to solve fractional differential equations (FDEs) via nonconformable fractional derivatives (NCFDs). We examined and demonstrated its fundamental qualities and benefits.
Shams A. Ahmed +3 more
wiley +1 more source
Nonlinear Engineering, 2014 The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler
Choudhary Anupama +2 more
doaj +1 more source
Journal of Function Spaces, 2021 In this paper, existence, uniqueness, and Hyers-Ulam stability for the solution of second-order fuzzy differential equations (FDEs) are studied. To deal a physical model, it is required to insure whether unique solution of the model exists.
Noor Jamal +2 more
doaj +1 more source
A note on integral transforms and differential equations [PDF]
, 2012 In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms.
Eltayeb, Hassan +2 more
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In science and engineering, nonlinear time‐fractional partial differential equations (NTFPDEs) are thought to be a useful tool for describing several natural and physical processes. It is tough to come up with analytical answers for these issues. Finding answers to NTFPDEs is therefore a crucial component of scientific study.
Alemu Senbeta Bekela +2 more
wiley +1 more source
Abstract and Applied Analysis, 2013 We introduce the rudiments of fractional calculus and the consequent applications of the Sumudu transform on fractional derivatives. Once this connection is firmly established in the general setting, we turn to the application of the Sumudu transform ...
Hasan Bulut +2 more
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Existence of the Conformable Double Laplace–Elzaki Transform and Applications
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce and establish the existence of the conformable fractional Laplace–Elzaki transform (CLET), a new integral transform designed to handle fractional‐order problems. Several fundamental properties and theorems of the CLET are derived and discussed.
Zaid Zaqzaq +3 more
wiley +1 more source