Caputo Type Fractional Derivative - Articles - Scientific Research Publishing

Lyapunov-Type Inequalities for Conformable BVP (Articles)

Xia Wang, Run Xu

Journal of Applied Mathematics and Physics Vol.6 No.7, July 27, 2018

DOI: 10.4236/jamp.2018.67131 860 Downloads 1,800 Views Citations
Adaptive Fractional-Order Damping via Extremum Seeking Control for Intelligent Vehicle Suspension Systems (Articles)

Jean-Francois Niglio

Engineering Vol.17 No.7, July 23, 2025

DOI: 10.4236/eng.2025.177020 98 Downloads 510 Views Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative (Articles)

Yanping Zheng, Wenxia Wang

Applied Mathematics Vol.4 No.7A, July 5, 2013

DOI: 10.4236/am.2013.47A002 3,862 Downloads 6,786 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 1,694 Downloads 3,667 Views Citations
Variable-Order Fractional Derivatives in Financial Systems (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

Applied Mathematics Vol.16 No.6, June 24, 2025

DOI: 10.4236/am.2025.166025 104 Downloads 765 Views Citations
Explicit Approximation Solutions and Proof of Convergence of the Space-Time Fractional Advection Dispersion Equations (Articles)

E. A. Abdel-Rehim

Applied Mathematics Vol.4 No.10, October 14, 2013

DOI: 10.4236/am.2013.410193 3,584 Downloads 6,025 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 1,501 Downloads 5,171 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 1,125 Downloads 2,627 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 213 Downloads 1,105 Views Citations
Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation (Articles)

Mohamed El- Gamel, Mahmoud Abd-El-Hady, Magdy El-Azab

Applied Mathematics Vol.8 No.12, December 21, 2017

DOI: 10.4236/am.2017.812128 1,807 Downloads 3,457 Views Citations
Fractional Calculus, Fractional Differential Equations and Applications (Articles)

Mariam Almahdi Mohammed Mu’lla

Open Access Library Journal Vol.7 No.6, June 23, 2020

DOI: 10.4236/oalib.1106244 2,065 Downloads 8,089 Views Citations
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 4,117 Downloads 7,709 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
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 12,408 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
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 3,951 Downloads 5,415 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 1,136 Downloads 2,598 Views Citations
RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.1, January 14, 2015

DOI: 10.4236/am.2015.61014 5,300 Downloads 6,937 Views Citations
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.3, March 24, 2015

DOI: 10.4236/am.2015.63056 5,597 Downloads 7,910 Views Citations
Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative (Articles)

Nan Yao, Zeyu Luo

Journal of Applied Mathematics and Physics Vol.7 No.5, May 23, 2019

DOI: 10.4236/jamp.2019.75072 603 Downloads 1,567 Views Citations
Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis (Articles)

Uttam Ghosh, Susmita Sarkar, Shantanu Das

Advances in Pure Mathematics Vol.5 No.12, October 13, 2015

DOI: 10.4236/apm.2015.512065 3,113 Downloads 4,785 Views Citations

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