Fractional Schrödinger Equation - Articles - Scientific Research Publishing

Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term (Articles)

Vadivel Sadhasivam, Jayapal Kavitha

Applied Mathematics Vol.7 No.3, February 29, 2016

DOI: 10.4236/am.2016.73025 2,674 Downloads 4,054 Views Citations
Oscillation for a Class of Fractional Differential Equation (Articles)

Qian Feng, Anping Liu

Journal of Applied Mathematics and Physics Vol.7 No.7, July 10, 2019

DOI: 10.4236/jamp.2019.77096 1,160 Downloads 2,690 Views Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations (Articles)

Xulong Wang, Siying Long, Anping Liu

Journal of Applied Mathematics and Physics Vol.10 No.10, October 21, 2022

DOI: 10.4236/jamp.2022.1010203 239 Downloads 1,170 Views Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29150 6,887 Downloads 12,495 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

Advances in Pure Mathematics Vol.1 No.6, November 24, 2011

DOI: 10.4236/apm.2011.16062 7,534 Downloads 15,792 Views Citations
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 136 Downloads 987 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 91 Downloads 385 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 3,552 Downloads 5,167 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 2,698 Downloads 4,125 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 4,145 Downloads 7,795 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 3,335 Downloads 5,090 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 943 Downloads 2,179 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 6,710 Downloads 12,102 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 3,913 Downloads 6,861 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 5,031 Downloads 7,727 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 5,302 Downloads 7,220 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 3,652 Downloads 5,211 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 2,302 Downloads 4,632 Views Citations
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 1,164 Downloads 2,648 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 697 Downloads 1,888 Views Citations

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