Articles with "generalized bernoulli" as a keyword



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Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials

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Published in 2017 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-017-0891-0

Abstract: In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of… read more here.

Keywords: associated families; bernoulli euler; formulas associated; euler polynomials ... See more keywords
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Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems

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Published in 2020 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-020-01213-0

Abstract: This work develops an optimization method based on a new class of basis function, namely the generalized Bernoulli polynomials (GBP), to solve a class of nonlinear 2-dim fractional optimal control problems. The problem is generated… read more here.

Keywords: control; bernoulli polynomials; nonlinear fractional; generalized bernoulli ... See more keywords