Fractional Order Integro-Differential Equation - Articles

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 1,199 Downloads 2,771 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 940 Downloads 1,607 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 633 Downloads 1,701 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 189 Downloads 800 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 123 Downloads 450 Views Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation (Articles)

Yuting Zhong, Renzhi Lu, Heng Su

Advances in Pure Mathematics Vol.13 No.3，March 17, 2023

DOI: 10.4236/apm.2023.133009 136 Downloads 547 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 229 Downloads 1,206 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 182 Downloads 896 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 218 Downloads 1,056 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 133 Downloads 541 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 145 Downloads 476 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 13 Downloads 47 Views Citations
Fractional-Order Financial System Using Efficient Numerical Methods (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

American Journal of Computational Mathematics Vol.15 No.1，March 31, 2025

DOI: 10.4236/ajcm.2025.151004 31 Downloads 176 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 1,521 Downloads 2,753 Views Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A，October 31, 2013

DOI: 10.4236/am.2013.411A1003 4,946 Downloads 7,272 Views Citations
This article belongs to the Special Issue on Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A，October 31, 2013

DOI: 10.4236/am.2013.411A1005 5,113 Downloads 8,181 Views Citations
This article belongs to the Special Issue on Functional Analysis
Periodic Solutions of Integro-Differential Equations (Articles)

Bahloul Rachid

Advances in Pure Mathematics Vol.12 No.3，March 10, 2022

DOI: 10.4236/apm.2022.123011 214 Downloads 993 Views Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method (Articles)

Yin Yang

Applied Mathematics Vol.4 No.1，January 28, 2013

DOI: 10.4236/am.2013.41020 8,213 Downloads 12,861 Views Citations
Approximate Controllability of Fractional Order Retarded Semilinear Control Systems (Articles)

Simegne Tafesse, Nagarajan Sukavanam

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.3，August 19, 2013

DOI: 10.4236/ijmnta.2013.23020 3,512 Downloads 6,801 Views Citations
Fractional Order Two Temperature Thermo-Elastic Behavior of Piezoelectric Materials (Articles)

Essam Bassiouny, Refaat Sabry

Journal of Applied Mathematics and Physics Vol.1 No.5，November 12, 2013

DOI: 10.4236/jamp.2013.15017 4,209 Downloads 7,295 Views Citations

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