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Natural Transform for Solving Fractional High Order Differential Equations
(Articles)
Hanan S. Gafel
Advances in Pure Mathematics
Vol.16 No.4
, April 30, 2026
DOI:
10.4236/apm.2026.164018
29
Downloads
169
Views
Citations
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
(Articles)
Mohammed S. Mechee
,
Norazak Senu
Applied Mathematics
Vol.3 No.8
, August 1, 2012
DOI:
10.4236/am.2012.38126
6,677
Downloads
12,037
Views
Citations
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces
(Articles)
Xiaoping Xu
,
Guangxian Wu
,
Qixiang Dong
Advances in Pure Mathematics
Vol.5 No.14
, December 7, 2015
DOI:
10.4236/apm.2015.514075
4,851
Downloads
6,252
Views
Citations
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
(Articles)
Mahmoud N. Sherif
Applied Mathematics
Vol.7 No.6
, March 24, 2016
DOI:
10.4236/am.2016.76048
3,398
Downloads
6,176
Views
Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations
(Articles)
Mohamed Z. Mohamed
,
Tarig M. Elzaki
Applied Mathematics
Vol.9 No.4
, April 30, 2018
DOI:
10.4236/am.2018.94032
1,953
Downloads
4,969
Views
Citations
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation
(Articles)
Rui Li
,
Wei Jiang
,
Jiale Sheng
,
Sen Wang
Applied Mathematics
Vol.11 No.10
, October 28, 2020
DOI:
10.4236/am.2020.1110069
754
Downloads
2,102
Views
Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation
(Articles)
Yuting Zhong
,
Renzhi Lu
,
Heng Su
Advances in Pure Mathematics
Vol.13 No.3
, March 17, 2023
DOI:
10.4236/apm.2023.133009
218
Downloads
884
Views
Citations
Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative
(Articles)
Xuefan Lin
,
Weimin Hu
,
Youhui Su
,
Yongzhen Yun
Journal of Applied Mathematics and Physics
Vol.11 No.12
, December 26, 2023
DOI:
10.4236/jamp.2023.1112249
230
Downloads
911
Views
Citations
Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.5 No.8
, May 8, 2014
DOI:
10.4236/am.2014.58115
5,107
Downloads
7,302
Views
Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
(Articles)
Muhammad Younis
Applied Mathematics
Vol.5 No.13
, July 10, 2014
DOI:
10.4236/am.2014.513186
4,980
Downloads
7,649
Views
Citations
Multiple Solutions for a Class of Variable-Order Fractional Laplacian Equations with Concave-Convex Nonlinearity
(Articles)
Canlin Gan
,
Ting Xiao
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.3
, March 22, 2022
DOI:
10.4236/jamp.2022.103057
221
Downloads
948
Views
Citations
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
(Articles)
Amr M. S. Mahdy
,
N. A. H. Mukhtar
American Journal of Computational Mathematics
Vol.7 No.4
, October 26, 2017
DOI:
10.4236/ajcm.2017.74028
1,618
Downloads
4,245
Views
Citations
Linearization of Emden Differential Equation via the Generalized Sundman Transformations
(Articles)
Joel Mvendaga Orverem
,
Yusuf Haruna
,
Bala Ma’aji Abdulhamid
,
Magaji Yunbunga Adamu
Advances in Pure Mathematics
Vol.11 No.3
, March 12, 2021
DOI:
10.4236/apm.2021.113011
633
Downloads
1,629
Views
Citations
Integral Means of Univalent Solution for Fractional Differential Equation
(Articles)
Rabha W. Ibrahim
,
Maslina Darus
Applied Mathematics
Vol.3 No.6
, June 26, 2012
DOI:
10.4236/am.2012.36091
3,879
Downloads
6,787
Views
Citations
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
(Articles)
Zhimin Zhao
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.3 No.5
, May 11, 2015
DOI:
10.4236/jamp.2015.35059
3,605
Downloads
5,146
Views
Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation
(Articles)
Peng Zhu
,
Shenglan Xie
American Journal of Computational Mathematics
Vol.6 No.4
, December 21, 2016
DOI:
10.4236/ajcm.2016.64034
2,278
Downloads
4,549
Views
Citations
Computational Analysis for Solving the Linear Space-Fractional Telegraph Equation
(Articles)
Zaki Mrzog Alaofi
,
Talaat Sayed El-Danaf
,
Adel Hadhoud
,
Silvestru Sever Dragomir
Open Journal of Modelling and Simulation
Vol.10 No.3
, June 9, 2022
DOI:
10.4236/ojmsi.2022.103014
317
Downloads
1,227
Views
Citations
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation
(Articles)
Fuwen Lu
,
Zhiyong Wang
Applied Mathematics
Vol.3 No.10
, October 12, 2012
DOI:
10.4236/am.2012.310162
5,693
Downloads
9,628
Views
Citations
Hyers-Ulam Stability of a Generalized Second-Order Nonlinear Differential Equation
(Articles)
Maher Nazmi Qarawani
Applied Mathematics
Vol.3 No.12
, December 12, 2012
DOI:
10.4236/am.2012.312252
4,760
Downloads
7,954
Views
Citations
Oscillation of Second Order Nonlinear Neutral Differential Equations with Mixed Neutral Term
(Articles)
Ramalingam Arul
,
Venkatachalam Subramaniyam Shobha
Journal of Applied Mathematics and Physics
Vol.3 No.9
, September 7, 2015
DOI:
10.4236/jamp.2015.39134
3,175
Downloads
5,067
Views
Citations
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