Results 31 to 40 of about 9,574,302 (235)
Applied Sciences, 2019 This paper presents the application of a value-set-based graphical approach to robust stability analysis for the ellipsoidal families of fractional-order polynomials with a complex structure of parametric uncertainty.
R. Matušů, B. Şenol, L. Pekař
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Advances in Difference Equations, 2021 This paper applies the Heydari–Hosseininia nonsingular fractional derivative for defining a variable-order fractional version of the Sobolev equation. The orthonormal shifted discrete Legendre polynomials, as an appropriate family of basis functions, are
M. H. Heydari, A. Atangana
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Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System
Eurasian Journal of Science and Engineering, 2021 Genocchi polynomials are known to be defined on the interval [0, 1], but to benefit from the advantages of this polynomials in the field of fractional differential equations (FDEs), it was realized that fractional derivatives of many functions with ...
Abdulnasir Isah, Salisu Ibrahim
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Robust stability of fractional order polynomials with complicated uncertainty structure
PLoS ONE, 2017 The main aim of this article is to present a graphical approach to robust stability analysis for families of fractional order (quasi-)polynomials with complicated uncertainty structure.
R. Matušů, B. Şenol, L. Pekař
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Fractal and Fractional, 2021 We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy +4 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
, 2013 In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
IEEE Access, 2023 This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of differentiation of Bernstein polynomials, is employed to ...
Shahad Adil Taher Algazaa +1 more
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Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
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