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Detailed Error Analysis for a Fractional Adams Method

Data up to Jan 2025

Published2004
Citations899
References35

Total Citations Per Year

Abstract

References (35)

Fractional differential equations

1999 • 20,349 citations

The random walk's guide to anomalous diffusion: a fractional dynamics approach

2000 • 8,022 citations

Fractional Integrals and Derivatives: Theory and Applications

1993 • 7,719 citations

Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems

1991 • 4,574 citations

Solving ordinary differential equations I. nonstiff problems

1987 • 4,197 citations

Solving Ordinary Differential Equations II

1996 • 4,054 citations

Linear Models of Dissipation whose Q is almost Frequency Independent--II

1967 • 3,815 citations

Analysis of Fractional Differential Equations

2002 • 2,970 citations

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

1993 • 1,201 citations

On the Appearance of the Fractional Derivative in the Behavior of Real Materials

1984 • 1,172 citations

The Numerical Treatment of Integral Equations

1979 • 956 citations

Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics

2012 • 894 citations

Fractional calculus and continuous-time finance

2000 • 812 citations

A new dissipation model based on memory mechanism

1971 • 805 citations

Linear models of dissipation in anelastic solids

1971 • 751 citations

A fractional calculus approach to self-similar protein dynamics

1995 • 701 citations

AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

1997 • 533 citations

Damping description involving fractional operators

1991 • 505 citations

Relaxation in filled polymers: A fractional calculus approach

1995 • 490 citations

Fractional calculus and continuous-time finance II: the waiting-time distribution

2000 • 429 citations

On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

1999 • 379 citations

Numerical Solution of the Bagley-Torvik Equation

2002 • 277 citations

Fractional linear multistep methods for Abel-Volterra integral equations of the second kind

1985 • 197 citations

ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS

1995 • 148 citations

Runge-Kutta theory for Volterra and Abel integral equations of the second kind

1983 • 130 citations

Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

1971 • 115 citations

Generalized Chapman-Kolmogorov equation: A unifying approach to the description of anomalous transport in external fields

2000 • 98 citations

Differintegral interpolation from a bandlimited signal's samples

1981 • 94 citations

Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation

1976 • 90 citations

A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations

1982 • 84 citations

Asymptotic expansions for product integration

1973 • 72 citations

Discrete random walk models for symmetric Lévy–Feller diffusion processes

1999 • 59 citations

Asymptotics and Extrapolation

1996 • 56 citations

A Comparison of Hereditary Integral and Internal Variable Approaches to Numerical Linear Solid Viscoelasticity

1997 • 12 citations

ANALYTIC CONTINUATION OF OPERATORS APPLICATIONS: FROM NUMBER THEORY AND GROUP THEORY TO QUANTUM FIELD AND STRING THEORIES

1999 • 8 citations

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