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· 2016· Review

Fractional Calculus: Models and Numerical Methods

Dumitru Bǎleanu, Kai Diethelm, Enrico Scalas, Juan J. Trujillo

Short summary

This paper surveys numerical methods for solving fractional differential equations, including specific techniques for ordinary and partial types, fractional variational principles, and applications of continuous-time random walks (CTRWs) in finance and economics.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Surveys numerical methods for ordinary and partial fractional differential equations.
  • Discusses specific and efficient methods for solving FDEs.
  • Explores fractional variational principles.
  • Details applications of Continuous-Time Random Walks (CTRWs) in finance and economics.
  • Introduces generalized Stirling numbers within fractional calculus.

AI-generated from the title and abstract; the full text is not read.

Abstract

Survey of Numerical Methods to Solve Ordinary and Partial Fractional Differential Equations Specific and Efficient Methods to Solve Ordinary and Partial Fractional Differential Equations Fractional Variational Principles Continuous-Time Random Walks (CTRWs) Applications to Finance and Economics Generalized Stirling Numbers of First and Second Kind in the Framework of Fractional Calculus.

The authors' abstract, as published at the source., 2016 · DOI ↗

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Field: Modeling and Simulation

Modeling and SimulationMathematics