Results 11 to 20 of about 9,574,302 (235)
Numerical Solutions of the Nonlinear Fractional-Order Brusselator System by Bernstein Polynomials [PDF]
The Scientific World Journal, 2014 In this paper we propose the Bernstein polynomials to achieve the numerical solutions of nonlinear fractional-order chaotic system known by fractional-order Brusselator system.
Hasib Khan +4 more
doaj +2 more sources
Fractional Supersymmetric Hermite Polynomials
Mathematics, 2020 We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core +6 more sources
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
core +4 more sources
Fractal and Fractional, 2023 In this research, we present a new computational technique for solving some physics problems involving fractional-order differential equations including the famous Bagley–Torvik method.
H. M. Srivastava +3 more
semanticscholar +1 more source
Fractal and Fractional, 2023 In this manuscript, we find the numerical solutions of a class of fractional-order differential equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in a circular cylindrical conduit.
H. Srivastava, M. Izadi
semanticscholar +1 more source
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023 Tuberculosis (TB) is a deadly contagious disease that affects vital organs of the body, especially the lungs. Although the disease is preventable, there are still concerns about its continued spread. Without effective prevention or appropriate treatment,
Z. Avazzadeh +5 more
semanticscholar +1 more source
Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We offer a method for solving the fractional optimal control problems of multi-dimensional. We obtain a fractional derivative and multiplication operational matrix for Mott polynomials (M-polynomials).
S.A. Alavi +3 more
doaj +1 more source
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2023 Recently, modeling problems in various field of sciences and engineering with the help of fractional calculus has been welcomed by researchers. One of these interesting models is a brain tumor model.
Iman Masti, K. Sayevand, Hossein Jafari
semanticscholar +1 more source
Fractional order of Legendre-type matrix polynomials
Advances in Difference Equations, 2020 Recently, special functions of fractional order calculus have had many applications in various areas of mathematical analysis, physics, probability theory, optimization theory, graph theory, control systems, earth sciences, and engineering. Very recently,
M. Zayed +3 more
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