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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
4,875
Downloads
6,321
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
3,434
Downloads
6,276
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
1,989
Downloads
5,048
Views
Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
, June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,381
Downloads
3,375
Views
Citations
The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with Nonlinear Memory
(Articles)
Yaning Li
,
Quanguo Zhang
Journal of Applied Mathematics and Physics
Vol.6 No.7
, July 10, 2018
DOI:
10.4236/jamp.2018.67118
1,075
Downloads
2,010
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
790
Downloads
2,177
Views
Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
(Articles)
Kelei Zhang
,
Zhenfeng Zhang
,
Tao Yuwen
Advances in Pure Mathematics
Vol.12 No.7
, July 28, 2022
DOI:
10.4236/apm.2022.127035
327
Downloads
1,217
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
240
Downloads
933
Views
Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation
(Articles)
Mohamed Elbadri
Applied Mathematics
Vol.14 No.3
, March 31, 2023
DOI:
10.4236/am.2023.143014
356
Downloads
1,718
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
248
Downloads
956
Views
Citations
Normalized Ground State Solutions to Fractional Schrödinger Equations with General Nonlinearities
(Articles)
Yifei Zhang
Open Access Library Journal
Vol.12 No.4
, April 29, 2025
DOI:
10.4236/oalib.1112925
52
Downloads
414
Views
Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary
(Articles)
Ogugua N. Onyejekwe
Journal of Applied Mathematics and Physics
Vol.13 No.6
, June 25, 2025
DOI:
10.4236/jamp.2025.136116
82
Downloads
433
Views
Citations
Normalized Solutions to Fractional Kirchhoff-Choquard Type Equations with the Lower Critical Exponent
(Articles)
Haojia Zhang
Open Access Library Journal
Vol.12 No.9
, September 25, 2025
DOI:
10.4236/oalib.1114046
31
Downloads
268
Views
Citations
Normalized Solutions to Upper Critical Fractional Kirchhoff-Choquard Type Equations with Potentials
(Articles)
Haojia Zhang
Open Access Library Journal
Vol.13 No.3
, March 11, 2026
DOI:
10.4236/oalib.1115040
41
Downloads
264
Views
Citations
Minimal Generalized Time-Bandwidth Product Method for Estimating the Optimum Fractional Fourier Order
(Articles)
Lin Tian
,
Zhenming Peng
Journal of Computer and Communications
Vol.3 No.3
, March 17, 2015
DOI:
10.4236/jcc.2015.33002
2,738
Downloads
3,753
Views
Citations
Real Options Assessment in the Time-Fractional Heston Model with Jump and Inertia
(Articles)
Ngoyi Landu Tresor
,
René Gilles Bokolo
,
Mabela Rostin
,
Walo Omana
Journal of Applied Mathematics and Physics
Vol.13 No.6
, June 12, 2025
DOI:
10.4236/jamp.2025.136111
95
Downloads
499
Views
Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
, October 31, 2013
DOI:
10.4236/am.2013.411A1003
5,102
Downloads
7,728
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
, October 31, 2013
DOI:
10.4236/am.2013.411A1005
5,268
Downloads
8,720
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Fast Switching Fractional-N Frequency Synthesizer Architecture Using TDTL
(Articles)
Mahmoud A. AL-QUTAYRI
,
Saleh R. AL-ARAJI
,
Abdulrahman Al-HUMAIDAN
International Journal of Communications, Network and System Sciences
Vol.2 No.9
, December 21, 2009
DOI:
10.4236/ijcns.2009.29102
6,813
Downloads
12,293
Views
Citations
Dynamic Inequalities for Convex Functions Harmonized on Time Scales
(Articles)
Muhammad Jibril Shahab Sahir
Journal of Applied Mathematics and Physics
Vol.5 No.12
, December 28, 2017
DOI:
10.4236/jamp.2017.512193
1,334
Downloads
2,859
Views
Citations
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