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An efficient parallel algorithm for the numerical solution of fractional differential equations

JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis

Authors: Kai Diethelm

High-Precision Numerical Algorithms and Implementation in Fractional Calculus

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

A numerical method for the fractional Schrödinger type equation of spatial dimension two

JOURNAL ARTICLE published June 2013 in Fractional Calculus and Applied Analysis

Authors: Neville J. Ford | M. Manuela Rodrigues | Nelson Vieira

Fractional boundary value problems: Analysis and numerical methods

JOURNAL ARTICLE published December 2011 in Fractional Calculus and Applied Analysis

Authors: Neville J. Ford | M. Luísa Morgado

Definitions and Numerical Evaluations of Fractional Calculus

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

Numerical Solutions of Special Fractional-Order Differential Equations

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

Analytical and Numerical Solutions of Linear Fractional-Order Differential Equations

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

Diffusive Representations for the Numerical Evaluation of Fractional Integrals

PROCEEDINGS ARTICLE published 14 March 2023 in 2023 International Conference on Fractional Differentiation and Its Applications (ICFDA)

Authors: Kai Diethelm

Introduction to Fractional Calculus

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

A New Diffusive Representation for Fractional Derivatives, Part I: Construction, Implementation and Numerical Examples

BOOK CHAPTER published 2023 in Fractional Differential Equations

Authors: Kai Diethelm

Numerical Solutions of Nonlinear FODEs

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

Approximations of Fractional-Order Operators and Systems

BOOK CHAPTER published 2024 in Fractional Calculus

Authors: Dingyü Xue | Lu Bai

Fractional-Compact Numerical Algorithms for Riesz Spatial Fractional Reaction-Dispersion Equations

JOURNAL ARTICLE published June 2017 in Fractional Calculus and Applied Analysis

Authors: Hengfei Ding | Changpin Li

Numerical Analysis of Local Discontinuous Galerkin Method for the Time-Fractional Fourth-Order Equation with Initial Singularity

JOURNAL ARTICLE published 7 April 2022 in Fractal and Fractional

Research funded by National Natural Science Foundation of China (12101266)

Authors: Zhen Wang

Analysis of a High-Accuracy Numerical Method for Time-Fractional Integro-Differential Equations

JOURNAL ARTICLE published 16 June 2023 in Fractal and Fractional

Research funded by Natural Science Foundation of Xinjiang Uygur Autonomous Region (2022D01E13) | NSFC (11861068) | Scientic Research Foundation for Outstanding Young Teachers of Xinjiang Normal University (XJNU202012,XJNU202112)

Authors: Ziyang Luo | Xindong Zhang | Leilei Wei

A finite element method for time fractional partial differential equations

JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis

Authors: Neville J. Ford | Jingyu Xiao | Yubin Yan

Application of the Explicit Euler Method for Numerical Analysis of a Nonlinear Fractional Oscillation Equation

JOURNAL ARTICLE published 19 May 2022 in Fractal and Fractional

Research funded by The Grant of the President of the 384 Russian Federation (MD-758.2022.1.1)

Authors: Valentine Aleksandrovich Kim | Roman Ivanovich Parovik

Error Estimates of High-Order Numerical Methods for Solving Time Fractional Partial Differential Equations

JOURNAL ARTICLE published June 2018 in Fractional Calculus and Applied Analysis

Authors: Zhiqiang Li | Yubin Yan

A Modified Time-Fractional Diffusion Equation and Its Finite Difference Method: Regularity and Error Analysis

JOURNAL ARTICLE published August 2019 in Fractional Calculus and Applied Analysis

Authors: Hong Wang | Xiangcheng Zheng

The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus

JOURNAL ARTICLE published June 2012 in Fractional Calculus and Applied Analysis

Authors: Kai Diethelm