Caputo Fractional Derivatives - Articles - Scientific Research Publishing

Conformable and Caputo’s Derivatives in Generalized Viscoelastic Models (Articles)

Jorge Fujioka, Rosalío Fernando Rodríguez, Áurea Espinosa-Cerón

Applied Mathematics Vol.14 No.9, September 15, 2023

DOI: 10.4236/am.2023.149035 301 Downloads 1,198 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 3,974 Downloads 5,460 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 5,297 Views Citations
Fractional Optical Solitons and Fractional Noether’s Theorem with Ortigueira’s Centered Derivatives (Articles)

Jorge Fujioka, Manuel Velasco, Argel Ramírez

Applied Mathematics Vol.7 No.12, July 26, 2016

DOI: 10.4236/am.2016.712118 1,844 Downloads 3,068 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 2,501 Downloads 6,312 Views Citations
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 6,195 Downloads 12,154 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12, December 19, 2018

DOI: 10.4236/apm.2018.812051 1,498 Downloads 3,462 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 10,748 Downloads 16,664 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 6,957 Downloads 11,542 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 4,552 Downloads 7,047 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 5,311 Downloads 7,241 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 1,169 Downloads 2,662 Views Citations
Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative (Articles)

Ann Al Sawoor, Miloud Sadkane

Applied Mathematics Vol.11 No.12, December 9, 2020

DOI: 10.4236/am.2020.1112084 570 Downloads 1,812 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 94 Downloads 496 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 219 Views Citations
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 3,343 Downloads 5,105 Views Citations
Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform (Articles)

Amir Khan, Gul Zaman, Saeed Ahmad, M. Ikhlaq Chohan

American Journal of Computational Mathematics Vol.7 No.4, November 2, 2017

DOI: 10.4236/ajcm.2017.74029 1,144 Downloads 2,384 Views Citations
Fractional Euler Lagrange Equations for Irregular Lagrangian with Holonomic Constraints (Articles)

Ola A. Jarab’ah

Journal of Modern Physics Vol.9 No.8, July 31, 2018

DOI: 10.4236/jmp.2018.98105 1,348 Downloads 3,165 Views Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary (Articles)

Ogugua N. Onyejekwe

Journal of Applied Mathematics and Physics Vol.13 No.6, June 25, 2025

DOI: 10.4236/jamp.2025.136116 82 Downloads 433 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 721 Views Citations

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