Fractional Differential Equation - Articles - Scientific Research Publishing

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
The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation (Articles)

Qiuyan Jin, Tiecheng Xia, Jinbo Wang

Journal of Applied Mathematics and Physics Vol.5 No.4, April 28, 2017

DOI: 10.4236/jamp.2017.54074 1,640 Downloads 3,147 Views Citations
Applications of Fractional Calculus to Newtonian Mechanics (Articles)

Gabriele U. Varieschi

Journal of Applied Mathematics and Physics Vol.6 No.6, June 21, 2018

DOI: 10.4236/jamp.2018.66105 2,463 Downloads 7,594 Views Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method (Articles)

M. Nurul Islam, M. Ali Akbar

Journal of Applied Mathematics and Physics Vol.6 No.1, January 11, 2018

DOI: 10.4236/jamp.2018.61009 1,284 Downloads 2,998 Views Citations
Existence and Uniqueness of Solution for a Fractional Order Integro-Differential Equation with Non-Local and Global Boundary Conditions (Articles)

Mehran Fatemi, Nihan Aliev, Sedaghat Shahmorad

Applied Mathematics Vol.2 No.10, October 14, 2011

DOI: 10.4236/am.2011.210179 5,786 Downloads 11,400 Views Citations
Finite Volume Element Method for Fractional Order Neutral Time-Delay Differential Equations (Articles)

Zicheng Wei, Qing Yang

Engineering Vol.17 No.1, January 20, 2025

DOI: 10.4236/eng.2025.171003 81 Downloads 587 Views Citations
Existence of Positive Solutions to Boundary Value Problems for Fractional Differential Equation with P-Laplacian Operators (Articles)

Junrui Yue

Applied Mathematics Vol.17 No.3, March 25, 2026

DOI: 10.4236/am.2026.173013 57 Downloads 316 Views Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative (Articles)

Wenwen Sun, Jinliang Wang

Applied Mathematics Vol.9 No.9, September 27, 2018

DOI: 10.4236/am.2018.99072 1,164 Downloads 2,644 Views Citations
On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions (Articles)

A. Adiloglu Nabiev

Applied Mathematics Vol.7 No.18, December 28, 2016

DOI: 10.4236/am.2016.718190 1,851 Downloads 3,612 Views Citations
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations (Articles)

Amjed Zraiqat, Laith K. Al-Hwawcha

Applied Mathematics Vol.6 No.6, June 2, 2015

DOI: 10.4236/am.2015.66087 5,887 Downloads 10,587 Views Citations
Existence and Uniqueness of Solution to Two-Point Boundary Value for Two-Sided Fractional Differential Equations (Articles)

Ailing Shi, Yu Bai

Applied Mathematics Vol.4 No.6, June 14, 2013

DOI: 10.4236/am.2013.46127 5,390 Downloads 8,339 Views Citations
Discussion on the Homology Theory of Lie Algebras (Articles)

Lilong Kang, Yu Wang, Caiyu Du

Journal of Applied Mathematics and Physics Vol.12 No.7, July 12, 2024

DOI: 10.4236/jamp.2024.127141 159 Downloads 654 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 6,825 Downloads 12,409 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 7,485 Downloads 15,712 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 135 Downloads 969 Views Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation (Articles)

Yufeng Sun, Zheng Zeng, Jie Song

Applied Mathematics Vol.8 No.3, March 24, 2017

DOI: 10.4236/am.2017.83026 2,488 Downloads 6,226 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4, April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,739 Downloads 4,373 Views Citations
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 2,670 Downloads 4,073 Views Citations
This article belongs to the Special Issue on Fractional Calculus
An Inequality for Second Order Differential Equation with Retarded Argument (Articles)

Erdoğan Şen

Advances in Pure Mathematics Vol.1 No.4, July 28, 2011

DOI: 10.4236/apm.2011.14043 5,542 Downloads 11,460 Views Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation (Articles)

Haiduke Sarafian

Advances in Pure Mathematics Vol.1 No.5, September 21, 2011

DOI: 10.4236/apm.2011.15053 4,731 Downloads 9,799 Views Citations

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