Generalized Time Fractional Diffusion Equation - Articles

Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional q-Difference Equation (Articles)

Liu Yang

Applied Mathematics Vol.4 No.10，October 14, 2013

DOI: 10.4236/am.2013.410195 6,245 Downloads 14,173 Views Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language (Articles)

Mohamed A. Abdoon

American Journal of Computational Mathematics Vol.5 No.2，June 10, 2015

DOI: 10.4236/ajcm.2015.52011 6,185 Downloads 7,365 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 4,707 Downloads 5,816 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 3,246 Downloads 5,643 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 1,783 Downloads 4,336 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 940 Downloads 1,607 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 633 Downloads 1,700 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 189 Downloads 796 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 229 Downloads 1,202 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 132 Downloads 535 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 13 Downloads 46 Views Citations
Fast Switching Fractional-N Frequency Synthesizer Architecture Using TDTL (Articles)

Mahmoud A. AL-QUTAYRI, Saleh R. AL-ARAJI, Abdulrahman Al-HUMAIDAN

Int'l J. of Communications, Network and System Sciences Vol.2 No.9，December 21, 2009

DOI: 10.4236/ijcns.2009.29102 6,581 Downloads 11,737 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 1,185 Downloads 2,321 Views Citations
Convergence and Superconvergence of Fully Discrete Finite Element for Time Fractional Optimal Control Problems (Articles)

Yuelong Tang

American Journal of Computational Mathematics Vol.11 No.1，March 25, 2021

DOI: 10.4236/ajcm.2021.111005 575 Downloads 1,148 Views Citations
Finite-Time Synchronization of Fractional-Order Chaotic Systems with Different Structures under Stochastic Disturbances (Articles)

Weiqiu Pan, Tianzeng Li

Journal of Computer and Communications Vol.9 No.6，June 21, 2021

DOI: 10.4236/jcc.2021.96007 281 Downloads 1,064 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12，December 14, 2017

DOI: 10.4236/am.2017.812126 925 Downloads 2,097 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 4,946 Downloads 7,271 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 5,113 Downloads 8,180 Views Citations
This article belongs to the Special Issue on Functional Analysis
Generalized Abel Inversion Using Homotopy Perturbation Method (Articles)

Sunil Kumar, Om P. Singh, Sandeep Dixit

Applied Mathematics Vol.2 No.2，February 25, 2011

DOI: 10.4236/am.2011.22029 6,943 Downloads 13,006 Views Citations
Some New Exact Traveling Wave Solutions for the Generalized Benney-Luke (GBL) Equation with Any Order (Articles)

Jun-Jie Wang, Lian-Tang Wang, Kuan-De Yang

Applied Mathematics Vol.3 No.4，April 27, 2012

DOI: 10.4236/am.2012.34046 4,699 Downloads 8,058 Views Citations

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