Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivative was considered in the Caputo sense, while the Riemann–Liouville integral operator was used to give approximations for...

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Bibliographic Details
Main Authors: Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Fractal and Fractional
Subjects:
fractional differential equations
numerical methods
variable-order fractional calculus
operational matrix of variable-order fractional integration
Bernoulli polynomials
Online Access:https://www.mdpi.com/2504-3110/5/4/219

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