A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces

By Eduardo Cuesta, Cesar Palencia. 2003

54 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d5dfe32060f6ad06cca6335109d90ad942ab0d77

How researchers see this paper

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In Modeling and Simulation

1. Eduardo Cuesta
2. Carlos Lizama

In Numerical Analysis

1. Eduardo Cuesta

Citations in the corpus

• Explicit methods for fractional differential equations and their stability properties (2009, unknown): “Even though this is a second order method with directly evaluable weights and good stability properties, the fractional trapezoidal rule has not been widely adopted in applications and we were only able to find a few examples of its application in the literature [1].”
• ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS AND SOME TIME DISCRETIZATIONS (2007, background): “, the numerical schemes based on convolution quadratures (see [1, 4, 5, 6, 11, 12, 14, 15, 16]), have also been widely studied.”