JOURNAL ARTICLE published 2002 in Nonlinear Dynamics

Authors: Kai Diethelm | Neville J. Ford | Alan D. Freed

Error analysis of spectral method for the space and time fractional Fokker—Planck equation

BOOK CHAPTER published March 2013 in Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Authors: Tinggang Zhao | Haiyan Xuan

An efficient hybrid numerical method for multi-term time fractional partial differential equations in fluid mechanics with convergence and error analysis

JOURNAL ARTICLE published November 2022 in Communications in Nonlinear Science and Numerical Simulation

Authors: A. Soltani Joujehi | M.H. Derakhshan | H.R. Marasi

Fractional-order attractors synthesis via parameter switchings

JOURNAL ARTICLE published December 2010 in Communications in Nonlinear Science and Numerical Simulation

Authors: Marius F. Danca | Kai Diethelm

Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation

JOURNAL ARTICLE published May 2023 in Communications in Nonlinear Science and Numerical Simulation

Authors: Tingting Ma | Qianqian Zheng | Yayun Fu

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

JOURNAL ARTICLE published 1 May 2024 in Journal of Computational and Nonlinear Dynamics

Research funded by National Research Foundation of Korea (NRF-2022R1A2C1004588) | National Research Foundation of Korea (RS-2023-00237912)

Authors: Yonghyeon Jeon | Sunyoung Bu

Fractional Adams–Moser–Trudinger type inequality on Heisenberg group

JOURNAL ARTICLE published June 2020 in Nonlinear Analysis

Research funded by DST/SERB, India (MTR/2018/000096) | CSIR, India (25(0263)/17/EMR-II)

Authors: Madhu Gupta | Jagmohan Tyagi

High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equation

JOURNAL ARTICLE published June 2023 in Communications in Nonlinear Science and Numerical Simulation

Research funded by Natural Science Foundation of Gansu Province (22JR5RE197) | Science and Technology Major Project of Guangxi (GuikeAD21220114) | National Natural Science Foundation of China (11961057,12271339)

Authors: Hengfei Ding | Changpin Li

Identification of Fractional Systems Using an Output-Error Technique

JOURNAL ARTICLE published December 2004 in Nonlinear Dynamics

Authors: Thierry Poinot | Jean-Claude Trigeassou

Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models

JOURNAL ARTICLE published 23 February 2021 in International Journal of Nonlinear Sciences and Numerical Simulation

Authors: Mohamed M. Khader

NUMERICAL SOLUTION FOR HIV INFECTION OF CD4+T CELLS USING TAYLOR SERIES METHOD, RUNGE KUTTA AND ADAMS BASHFORTH METHOD

JOURNAL ARTICLE published 30 December 2022 in Journal of Fractional Calculus and Nonlinear Systems

Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates

JOURNAL ARTICLE published November 2018 in Nonlinear Dynamics

Authors: Omar Abu Arqub | Zaid Odibat | Mohammed Al-Smadi

Numerical integration error method – a new method for polynomial root-finding

JOURNAL ARTICLE published August 2001 in Nonlinear Analysis: Theory, Methods & Applications

Authors: Tomohiro Suzuki | Toshio Suzuki

Reconstruct the unknown source for the fractional elliptic equations : Regularization method and error estimates

JOURNAL ARTICLE published 2023 in Advances in the Theory of Nonlinear Analysis and its Application

Probabilistic evolution analysis and first passage analysis of a class of stochastic dynamic systems with fractional derivative based on Complex Fractional Moment method

JOURNAL ARTICLE published July 2023 in Communications in Nonlinear Science and Numerical Simulation

Authors: Lizhi Niu | Wei Xu | Tongtong Sun | Wenting Zhang | Yisha Lu

Fractional step method for the nonlinear conservation laws with fractional dissipation

BOOK CHAPTER published March 2013 in Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Authors: Can Li | Weihua Deng

Homotopy analysis method for fractional IVPs

JOURNAL ARTICLE published March 2009 in Communications in Nonlinear Science and Numerical Simulation

Authors: I. Hashim | O. Abdulaziz | S. Momani

Numerical approximate solutions for variable-order Riesz fractional equations via adaptive method

JOURNAL ARTICLE published 2017 in Journal of Nonlinear Analysis and Application

Authors: Youwei Zhang

Stability analysis and numerical simulation of fractional model of Leishmaniasis

JOURNAL ARTICLE published 1 August 2023 in Results in Nonlinear Analysis

Parameter estimation of fractional uncertain differential equations via Adams method

JOURNAL ARTICLE published 17 February 2022 in Nonlinear Analysis: Modelling and Control

Authors: Guo-Cheng Wu | Jia-Li Wei | Cheng Luo | Lan-Lan Huang