Standard

Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. / Zaky, M. A.; Babatin, M.; Hammad, M. и др.
в: Aims mathematics, Том 9, № 6, 01.01.2024, стр. 15246-15262.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

Zaky, MA, Babatin, M, Hammad, M, Akgül, A & Hendy, AS 2024, 'Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations', Aims mathematics, Том. 9, № 6, стр. 15246-15262. https://doi.org/10.3934/math.2024740

APA

Zaky, M. A., Babatin, M., Hammad, M., Akgül, A., & Hendy, A. S. (2024). Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. Aims mathematics, 9(6), 15246-15262. https://doi.org/10.3934/math.2024740

Vancouver

Zaky MA, Babatin M, Hammad M, Akgül A, Hendy AS. Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. Aims mathematics. 2024 янв. 1;9(6):15246-15262. doi: 10.3934/math.2024740

Author

Zaky, M. A. ; Babatin, M. ; Hammad, M. и др. / Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. в: Aims mathematics. 2024 ; Том 9, № 6. стр. 15246-15262.

BibTeX

@article{cc8aee2893994b43b197a2f42e14938b,
title = "Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations",
abstract = "Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.",
author = "Zaky, {M. A.} and M. Babatin and M. Hammad and A. Akg{\"u}l and Hendy, {A. S.}",
note = "This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095).",
year = "2024",
month = jan,
day = "1",
doi = "10.3934/math.2024740",
language = "English",
volume = "9",
pages = "15246--15262",
journal = "Aims mathematics",
issn = "2473-6988",
publisher = "American Institute of Mathematical Sciences",
number = "6",

}

RIS

TY - JOUR

T1 - Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

AU - Zaky, M. A.

AU - Babatin, M.

AU - Hammad, M.

AU - Akgül, A.

AU - Hendy, A. S.

N1 - This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23095).

PY - 2024/1/1

Y1 - 2024/1/1

N2 - Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.

AB - Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85191887487

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001224093500003

U2 - 10.3934/math.2024740

DO - 10.3934/math.2024740

M3 - Article

VL - 9

SP - 15246

EP - 15262

JO - Aims mathematics

JF - Aims mathematics

SN - 2473-6988

IS - 6

ER -

ID: 56648729