Results 211 to 220 of about 9,574,302 (235)

A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

Numerical Methods for Partial Differential Equations, 2020
Epidemiology is the glorious discipline underlying medical research, public health practice, and health care evaluation. Nowadays, research on disease models with anonymous parameters is a popular issue for researchers working in epidemiology.
Sunil Kumar, Ranbir Kumar, M. Osman, B. Samet   +3 more
semanticscholar   +1 more source

Novel operational matrices-based method for solving fractional-order delay differential equations via shifted Gegenbauer polynomials

Applied Mathematics and Computation, 2020
Accurate solutions of nonlinear multi-dimensional delay problems of fractional-order arising in mathematical physics and engineering recently have been found to be a challenging task for the research community.
M. Usman, M. Hamid, T. Zubair, R. Haq, Wei Wang, Mou-Bin Liu   +5 more
semanticscholar   +1 more source

Robust stability analysis of uncertain incommensurate fractional order quasi-polynomials in the presence of interval fractional orders and interval coefficients

Transactions of the Institute of Measurement and Control, 2020
This paper deals with the robust stability analysis of a class of incommensurate fractional order quasi-polynomials with a general type of interval uncertainties.
Majid Ghorbani, Mahsan Tavakoli‐Kakhki
semanticscholar   +1 more source

A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

International Journal of Computational Mathematics, 2021
An algorithm based on a class of the Chebyshev polynomials family called the fifth-kind Chebyshev polynomials (FCPs) is introduced to solve the multi-term variable-order time-fractional diffusion-wave equation (MVTFD-WE).
K. Sadri, H. Aminikhah
semanticscholar   +1 more source

Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order

Applied Mathematics and Computation, 2019
In this paper, we develop a numerical scheme based on two-dimensional orthonormal Bernstein polynomials (2D-OBPs) to solve two-dimensional nonlinear integral equations of fractional order.
Farshid Mirzaee, Nasrin Samadyar
semanticscholar   +1 more source

Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations

, 2021
In this paper, we generalize a coupled system of nonlinear reaction-advection-diffusion equations to a variable-order fractional one by using the Caputo-Fabrizio fractional derivative, which is a non-singular fractional derivative operator.
M. Heydari, Z. Avazzadeh, A. Atangana
semanticscholar   +1 more source

A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

, 2021
In this paper, the variable order fractional derivative in the Heydari-Hosseininia sense is employed to define a new fractional version of 2D reaction-advection-diffusion equation.
M. Hosseininia, M. Heydari, Z. Avazzadeh, F. M. Maalek Ghaini   +3 more
semanticscholar   +1 more source

Robust stability testing function for a complex interval family of fractional-order polynomials

Journal of the Franklin Institute, 2022
Majid Ghorbani, H. Rezaei, A. Tepljakov, E. Petlenkov   +3 more
semanticscholar   +1 more source

Robust Stability by Path-Connectivity of Fractional Order Polynomials

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2016
J. López-Rentería, G. Fernández-Anaya
semanticscholar   +2 more sources

Generalized Bernoulli–Laguerre Polynomials: Applications in Coupled Nonlinear System of Variable-Order Fractional PDEs

Journal of Optimization Theory and Applications, 2023
H. Hassani, Z. Avazzadeh, P. Agarwal, M. J. Ebadi, Ali Bayati Eshkaftaki   +4 more
semanticscholar   +1 more source