Generalized Time Fractional Diffusion Equation - Articles

Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19, November 18, 2014

DOI: 10.4236/am.2014.519301 5,275 Downloads 7,170 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 5,145 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 2,276 Downloads 4,543 Views Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations (Articles)

Thilagarajah Mathanaranjan, Dayalini Vijayakumar

Journal of Applied Mathematics and Physics Vol.9 No.2, February 25, 2021

DOI: 10.4236/jamp.2021.92019 673 Downloads 1,844 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 947 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
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method (Articles)

Orkun Tasbozan, Alaattin Esen, Nuri Murat Yagmurlu

Open Journal of Applied Sciences Vol.2 No.3, September 28, 2012

DOI: 10.4236/ojapps.2012.23029 7,717 Downloads 21,601 Views Citations
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 6,396 Downloads 14,654 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 6,303 Downloads 7,827 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 4,849 Downloads 6,250 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 3,392 Downloads 6,162 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 1,952 Downloads 4,962 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 1,045 Downloads 1,947 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 753 Downloads 2,099 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 292 Downloads 1,136 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 345 Downloads 1,663 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
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 51 Downloads 385 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 29 Downloads 239 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 36 Downloads 230 Views Citations

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