2020
DOI: 10.1515/ijnsns-2019-0281
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A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument

Abstract: In this paper, a numerical technique for a general form of nonlinear fractional-order differential equations with a linear functional argument using Chebyshev series is presented. The proposed equation with its linear functional argument represents a general form of delay and advanced nonlinear fractional-order differential equations. The spectral collocation method is extended to study this problem as a discretization scheme, where the fractional derivatives are defined in the Caputo sense. The collocation me… Show more

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Cited by 5 publications
(1 citation statement)
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“…Furthermore, Ganji et al have introduced a numerical scheme based on the Bernstein polynomials to solve variable order diffusion-wave equations [49]. As a notation, the proposed model ( 1) is a generalization of our previous reports [50][51][52][53][54] and other work [55][56][57] as well.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, Ganji et al have introduced a numerical scheme based on the Bernstein polynomials to solve variable order diffusion-wave equations [49]. As a notation, the proposed model ( 1) is a generalization of our previous reports [50][51][52][53][54] and other work [55][56][57] as well.…”
Section: Introductionmentioning
confidence: 99%