Solutions of fractional differential equations by Sumudu transform and variational iteration method

被引：12

作者：

Goswami, Pranay ^{[1
]}

Alqahtani, Rubayyi T. ^{[2
]}

机构：

[1] Ambedkar Univ Delhi, Sch Liberal Studies, Delhi 110006, India

[2] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 04期

关键词：

Variational iteration method; Sumudu transform; fractional differential equation; HOMOTOPY PERTURBATION METHOD; ORDER; MODEL;

D O I：

10.22436/jnsa.009.04.48

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of the Sumudu transform and the variational iteration method, we solve differential equations and fractional differential equations related to entropy, wavelets etc. The methods which produce solutions in terms of convergent series is explained. Some examples are provided to show the accuracy and easy implementation and to show the methodology. (C) 2016 All rights reserved.

引用

页码：1944 / 1951

页数：8

共 50 条

[31] Solving fuzzy fractional differential equations using fuzzy Sumudu transform
Rahman, Norazrizal Aswad Abdul
Ahmad, Muhammad Zaini
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2620 - 2632
[32] Approximate analytical solutions of fractional order differential equations by conformable Sumudu decomposition method
Fadhel, Fadhel S.
Altaie, Huda Omran
Hussein, Qays Jasem
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (04) : 699 - 704
[33] On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method
Goswami, Pranay
Alqahtani, Rubayyi T.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
[34] Conformable Double Laplace-Sumudu Transform Decomposition Method for Fractional Partial Differential Equations
Honggang, Jia
Yanmin, Zhao
Complexity, 2022, 2022
[35] On Sumudu Transform and System of Differential Equations
Kilicman, Adem
Eltayeb, Hassan
Agarwal, Ravi P.
ABSTRACT AND APPLIED ANALYSIS, 2010,
[36] Variational Iteration Method for Delay Differential Equations
Jihuan HE (Shanghai University
Communications in Nonlinear Science and Numerical Simulation, 1997, (04) : 235 - 236
[37] The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions
Atay, Mehmet Tarik
Kilic, Okan
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[38] SOLUTIONS OF HELMHOLTZ EQUATIONS BY VARIATIONAL ITERATION METHOD
Chen, Ruyun
Xiang, Shuhuang
MODERN PHYSICS LETTERS B, 2009, 23 (15): : 1935 - 1945
[39] Solving Fractional Integro-Differential Equations by Using Sumudu Transform Method and Hermite Spectral Collocation Method
Amer, Y. A.
Mahdy, A. M. S.
Youssef, E. S. M.
CMC-COMPUTERS MATERIALS & CONTINUA, 2018, 54 (02): : 161 - 180
[40] Fractional Variational Iteration Method versus Adomian's Decomposition Method in Some Fractional Partial Differential Equations
Song, Junqiang
Yin, Fukang
Cao, Xiaoqun
Lu, Fengshun
JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →