Results 131 to 140 of about 16,801 (158)

A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative

Mathematical Sciences, 2022
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M. H. Heydari, A. Atangana
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Periodic motion for impulsive fractional functional differential equations with piecewise Caputo derivative

Applied Mathematics Letters, 2020
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Tianwei Zhang, Lianglin Xiong
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A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative

Chaos, Solitons & Fractals, 2021
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M.H. Heydari, M. Razzaghi
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Performance of Ritz‐Piecewise Gegenbauer Approach for Two Types of Fractional Pantograph Equations Including Piecewise Fractional Derivative

Mathematical Methods in the Applied Sciences
ABSTRACTThis paper introduces a novel numerical algorithm for solving pantograph differential equations and Volterra functional integro‐differential equations including the piecewise fractional derivative. The proposed algorithm combines the piecewise Gegenbauer functions, the Ritz method, and operational matrices.
Haniye Dehestani
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Piecewise fractional Legendre functions for nonlinear fractional optimal control problems with ABC fractional derivative and non‐smooth solutions

Asian Journal of Control, 2023
AbstractIn this study, to solve fractional problems with non‐smooth solutions (which include some terms in the form of piecewise or fractional powers), a new category of basis functions called the orthonormal piecewise fractional Legendre functions is introduced. The upper bound of the error of the series expansion of these functions is obtained.
Shabnam Zhagharian   +2 more
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A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE

Fractals, 2022
The aim of this paper is to study the dynamics of Dengue disease model using a novel piecewise derivative approach in the sense of singular and non-singular kernels. The singular kernel operator is in the sense of Caputo, whereas the non-singular kernel operator is the Atangana–Baleanu Caputo operator.
Khan, Javed   +3 more
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A Piecewise Memory Principle for Fractional Derivatives

Fractional Calculus and Applied Analysis, 2017
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Gong, Chunye, Bao, Weimin, Liu, Jie
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