Fractional Calculus - Articles - Scientific Research Publishing

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 2,454 Downloads 7,537 Views Citations
Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method (Articles)

Eyad Hasan Hasan, Osama Abdalla Abu-Haija

Journal of Applied Mathematics and Physics Vol.13 No.2, February 25, 2025

DOI: 10.4236/jamp.2025.132031 96 Downloads 457 Views Citations
Fractional Order for Food Gums: Modeling and Simulation (Articles)

Sergio A. David, Aline H. Katayama

Applied Mathematics Vol.4 No.2, February 27, 2013

DOI: 10.4236/am.2013.42046 6,354 Downloads 9,494 Views Citations
Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control (Articles)

Zhanhong Liang, Jinfeng Gao

International Journal of Modern Nonlinear Theory and Application Vol.5 No.3, September 27, 2016

DOI: 10.4236/ijmnta.2016.53013 1,849 Downloads 3,313 Views Citations
An Image Enhancement Method Based on Fractional Calculus and Retinex (Articles)

Jingang Cao

Journal of Computer and Communications Vol.6 No.11, November 14, 2018

DOI: 10.4236/jcc.2018.611005 978 Downloads 2,868 Views Citations
Certain Problem for Starlike Functions with Respect to Other Points (Articles)

Ghassan H. Esa

Open Access Library Journal Vol.8 No.4, April 30, 2021

DOI: 10.4236/oalib.1107383 231 Downloads 956 Views Citations
Adomian Decomposition Method for Solving Fractional Time-Klein-Gordon Equations Using Maple (Articles)

Dalal Albogami, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.14 No.6, June 6, 2023

DOI: 10.4236/am.2023.146024 436 Downloads 1,686 Views Citations
The Oscillation of a Class of Fractional Impulsive Partial Differential Equations (Articles)

Li Fan, Anping Liu

Journal of Applied Mathematics and Physics Vol.13 No.9, September 26, 2025

DOI: 10.4236/jamp.2025.139177 59 Downloads 292 Views Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm (Articles)

Jingqi Han, Litan Yan

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64078 908 Downloads 2,094 Views Citations
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium (Articles)

Ahmed M. A. El-Sayed, Saad Z. Rida, Anas A. M. Arafa

Applied Mathematics Vol.2 No.12, December 27, 2011

DOI: 10.4236/am.2011.212214 5,187 Downloads 8,664 Views Citations
Anomalous diffusion in a variable area whose boundary moves with a constant speed (Articles)

Xicheng Li

Open Journal of Applied Sciences Vol.2 No.4B, January 16, 2013

DOI: 10.4236/ojapps.2012.24B042 3,948 Downloads 5,717 Views Citations
Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions (Articles)

Yongshun Liang

Advances in Pure Mathematics Vol.5 No.1, January 13, 2015

DOI: 10.4236/apm.2015.51003 3,439 Downloads 4,903 Views Citations
Hypergeometric Functions: From One Scalar Variable to Several Matrix Arguments, in Statistics and Beyond (Invited Paper)

T. Pham-Gia, Dinh Ngoc Thanh

Open Journal of Statistics Vol.6 No.5, October 27, 2016

DOI: 10.4236/ojs.2016.65078 3,051 Downloads 7,214 Views Citations
Hermite Solution of Bagley-Torvik Equation of Fractional Order (Articles)

Tamour Zubair, Marriam Sajjad, Rehmatullah Madni, Amna Shabir

International Journal of Modern Nonlinear Theory and Application Vol.6 No.3, August 14, 2017

DOI: 10.4236/ijmnta.2017.63010 1,483 Downloads 3,628 Views Citations
Some Parameterized Simpson-Mercer Type Inequalities for General Fractional Operators (Articles)

Jen Chieh Lo

Advances in Pure Mathematics Vol.16 No.3, March 23, 2026

DOI: 10.4236/apm.2026.163010 35 Downloads 170 Views Citations
Integral Means of Univalent Solution for Fractional Differential Equation (Articles)

Rabha W. Ibrahim, Maslina Darus

Applied Mathematics Vol.3 No.6, June 26, 2012

DOI: 10.4236/am.2012.36091 3,872 Downloads 6,756 Views Citations
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation (Articles)

Mohammed S. Mechee, Norazak Senu

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38126 6,671 Downloads 12,007 Views Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13, July 10, 2014

DOI: 10.4236/am.2014.513186 4,975 Downloads 7,631 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11, November 13, 2020

DOI: 10.4236/am.2020.1111074 2,298 Downloads 10,229 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 547 Downloads 1,733 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application

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