Caputo-Fractional Derivative - Articles - Scientific Research Publishing

Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions (Articles)

Zhenghui Gao, Liu Yang, Gang Liu

Applied Mathematics Vol.4 No.6, June 3, 2013

DOI: 10.4236/am.2013.46118 6,200 Downloads 12,165 Views Citations
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations (Articles)

Minjie Li, Yiliang Liu

Open Journal of Applied Sciences Vol.3 No.1B1, July 11, 2013

DOI: 10.4236/ojapps.2013.31B1011 6,964 Downloads 11,561 Views Citations
Positive Solutions for Fractional Differential Equations with Multi-Point Boundary Value Problems (Articles)

Lina Zhou, Weihua Jiang

Journal of Applied Mathematics and Physics Vol.2 No.5, April 24, 2014

DOI: 10.4236/jamp.2014.25014 4,554 Downloads 7,059 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 5,313 Downloads 7,251 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 2,502 Downloads 6,323 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12, December 14, 2017

DOI: 10.4236/am.2017.812126 1,121 Downloads 2,693 Views Citations
A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations (Articles)

Xiaoxue Lu, Chunhua Zhang, Huiling Xue, Bowen Zhong

Journal of Applied Mathematics and Physics Vol.12 No.9, September 10, 2024

DOI: 10.4236/jamp.2024.129183 146 Downloads 698 Views Citations
Real Options Assessment in the Time-Fractional Heston Model with Jump and Inertia (Articles)

Ngoyi Landu Tresor, René Gilles Bokolo, Mabela Rostin, Walo Omana

Journal of Applied Mathematics and Physics Vol.13 No.6, June 12, 2025

DOI: 10.4236/jamp.2025.136111 95 Downloads 503 Views Citations
Natural Transform for Solving Fractional High Order Differential Equations (Articles)

Hanan S. Gafel

Advances in Pure Mathematics Vol.16 No.4, April 30, 2026

DOI: 10.4236/apm.2026.164018 40 Downloads 230 Views Citations
Optimal Control and Dynamic Analysis of a New Caputo Fractional Rumor Propagation Prediction Model (Articles)

Lijie You, Sijie Yu

Journal of Applied Mathematics and Physics Vol.14 No.5, May 29, 2026

DOI: 10.4236/jamp.2026.145096 27 Downloads 129 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1, January 21, 2025

DOI: 10.4236/eng.2025.171004 137 Downloads 726 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 187 Downloads 827 Views Citations
Fractionalization of a Class of Semi-Linear Differential Equations (Articles)

Issic K. C. Leung, K. Gopalsamy

Applied Mathematics Vol.8 No.11, November 30, 2017

DOI: 10.4236/am.2017.811124 1,747 Downloads 3,833 Views Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.7 No.10, October 24, 2019

DOI: 10.4236/jamp.2019.710166 1,548 Downloads 5,307 Views Citations
Approximate Technique for Solving Class of Fractional Variational Problems (Articles)

Emad M. Solouma, Mohamed M. Khader

Applied Mathematics Vol.6 No.5, May 19, 2015

DOI: 10.4236/am.2015.65078 3,975 Downloads 5,467 Views Citations
Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay (Articles)

Yuping Cao, Chuanzhi Bai

Applied Mathematics Vol.6 No.12, November 25, 2015

DOI: 10.4236/am.2015.612181 4,280 Downloads 6,085 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 1,172 Downloads 2,673 Views Citations
Fractional Versions of the Fundamental Theorem of Calculus (Articles)

Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira

Applied Mathematics Vol.4 No.7A, July 8, 2013

DOI: 10.4236/am.2013.47A006 10,750 Downloads 16,688 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Inequalities for the Polar Derivative of a Polynomial (Articles)

Gulshan Singh, W. M. Shah, Yash Paul

Advances in Pure Mathematics Vol.1 No.2, March 30, 2011

DOI: 10.4236/apm.2011.12006 6,163 Downloads 13,679 Views Citations
Introduction of the Tensor Which Satisfied Binary Law (Articles)

Koji Ichidayama

Journal of Modern Physics Vol.8 No.1, January 23, 2017

DOI: 10.4236/jmp.2017.81011 1,478 Downloads 2,553 Views Citations

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