Multi-Term Time Fractional Sub-Diffusion Equation - Articles

Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity (Articles)

Xueqian Yan

Open Access Library Journal Vol.9 No.6, June 15, 2022

DOI: 10.4236/oalib.1108837 139 Downloads 997 Views Citations
The Oscillation of a Class of Fractional Impulsive Partial Differential Equations (Articles)

Li Fan, Anping Liu

Journal of Applied Mathematics and Physics Vol.13 No.9, September 26, 2025

DOI: 10.4236/jamp.2025.139177 99 Downloads 409 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613192 3,557 Downloads 5,180 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method (Articles)

Rubayyi T. Alqahtani

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613190 2,704 Downloads 4,141 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus (Articles)

Tohru Morita, Ken-ichi Sato

Advances in Pure Mathematics Vol.6 No.3, February 29, 2016

DOI: 10.4236/apm.2016.63015 4,161 Downloads 7,846 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials (Articles)

R. F. Al-Bar

Applied Mathematics Vol.6 No.12, November 26, 2015

DOI: 10.4236/am.2015.612184 3,343 Downloads 5,107 Views Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm (Articles)

Jingqi Han, Litan Yan

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64078 946 Downloads 2,195 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 6,725 Downloads 12,135 Views Citations
Comparing the Time-Deformation Method with the Fractional Fourier Transform in Filtering Non-Stationary Processes (Articles)

Mengyuan Xu, Wayne A. Woodward, Henry L. Gray

Journal of Signal and Information Processing Vol.3 No.4, November 29, 2012

DOI: 10.4236/jsip.2012.34062 5,177 Downloads 7,648 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 3,924 Downloads 6,889 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 5,042 Downloads 7,751 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 5,311 Downloads 7,244 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 3,657 Downloads 5,230 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 2,304 Downloads 4,647 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 704 Downloads 1,900 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 240 Downloads 1,008 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 336 Downloads 1,281 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 7,771 Downloads 21,685 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 6,422 Downloads 14,711 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 6,338 Downloads 7,907 Views Citations

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