Fractional Differential Equation - Articles - Scientific Research Publishing

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 7,648 Views Citations
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
Fractional Difference Approximations for Time-Fractional Telegraph Equation (Articles)

Ru Liu

Journal of Applied Mathematics and Physics Vol.6 No.1, January 31, 2018

DOI: 10.4236/jamp.2018.61029 1,136 Downloads 2,598 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 948 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 7,718 Downloads 21,604 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 7,828 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 1,344 Downloads 3,294 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 1,956 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
Stability of Perfectly Matched Layers for Time Fractional Schrödinger Equation (Articles)

Tingting Zhang, Xiangkun Li

Engineering Vol.15 No.1, January 30, 2023

DOI: 10.4236/eng.2023.151001 193 Downloads 752 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 1,666 Views Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145020 278 Downloads 1,326 Views Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145021 311 Downloads 1,529 Views Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L¹ -Data (Articles)

Safimba Soma, Mohamed Bance

Journal of Applied Mathematics and Physics Vol.11 No.12, December 29, 2023

DOI: 10.4236/jamp.2023.1112261 263 Downloads 828 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
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 75 Downloads 402 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 241 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 232 Views Citations

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