Results 71 to 80 of about 728,619 (184)

A Tutorial to Approximately Invert the Sumudu Transform

Applied Mathematics, 2019
Unlike the traditional Laplace transform, the Sumudu transform of a function, when approximated as a power series, may be readily inverted using factorial-based coefficient diminution. This technique offers straightforward computational advantages for approximate range-limited numerical solutions of certain ordinary, mixed, and partial linear ...
Glen Atlas, John K.-J. Li, Adam Work
openaire   +2 more sources

A Novel Computational Technique for Numerical Approximation of Nonlinear Fractional Dynamical Systems: Convergence and Efficiency Analysis

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag, Amin Saif, Mohammed Alsharafi, Lakhlifa Sadek   +3 more
wiley   +1 more source

Exact Solutions and Convergence Analysis of Linear Fractional Integro‐Differential Equations With Caputo Derivatives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Modeling systems with memory and nonlocal effects is significantly influenced by fractional integro‐differential equations; however, precise analytical solutions are still hard to find. This article establishes a consistent deductive mathematical framework for the emergence of closed‐form solutions to linear fractional Fredholm and Volterra integro ...
Khadija Tul Kubra, Muhammad Aqib, Samra Gulshan, Rooh Ali, Hami Gündoğdu, Smritijit Sen   +5 more
wiley   +1 more source

Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method

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, Kumar Devendra, Singh Jagdev   +2 more
doaj   +1 more source

Fractional‐Order Mathematical Modeling of Lassa Hemorrhagic Fever in Pregnant Women Under the Caputo Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines an etiological hypothesis that is closely related to the complexity of Lassa hemorrhagic fever (LHF), a disease that affects pregnant African women. The abovementioned disease that affects expecting mothers initially appeared in Africa and has negative consequences.
Mashael M. AlBaidani, Rabab Alzahrani, Valerie M. Cheathon, Smritijit Sen   +3 more
wiley   +1 more source

Solution of fuzzy differential equations using fuzzy Sumudu transforms [PDF]

2017 IEEE International Conference on INnovations in Intelligent SysTems and Applications (INISTA), 2017
The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method.
Raheleh Jafari, Sina Razvarz
openaire   +5 more sources

The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method

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, Haci Mehmet Baskonus, Fethi Bin Muhammad Belgacem   +2 more
doaj   +1 more source

Laplace Adomian Decomposition Method to the Bagley–Torvik Fractional Differential Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analytical solution framework for the Bagley–Torvik equation, a canonical fractional differential model central to the study of viscoelastic damping. We employ the Laplace Adomian Decomposition Method (LADM) within the framework of the Caputo fractional derivative to derive accurate approximate solutions for three distinct ...
Pratibha Manohar, Lata Chanchlani, Vikram Kumar, D. L. Suthar, Smritijit Sen   +4 more
wiley   +1 more source

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

The Double Sumudu-Sawi Transform

European Journal of Pure and Applied Mathematics
The paper explores integral transforms and their broader generalizations. The primary aim is to develop a new integral transform that combines the Hybrid Sumudu and Sawi transforms, investigating their properties, existence, and inversion theorem. We introduce recent findings on partial differential equations in higher dimensions and broaden the scope ...
Raed Abu Awwad, Monther Al-Momani, Baha' Abughazaleh, Ali Jaradat, Abdulkarim Farah   +4 more
openaire   +1 more source