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

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Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. / Zaky, M. A.; Babatin, M.; Hammad, M. et al.
In: Aims mathematics, Vol. 9, No. 6, 01.01.2024, p. 15246-15262.

Research output: Contribution to journal › Article › peer-review

Author

Zaky, M. A. ; Babatin, M. ; Hammad, M. et al. / Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations. In: Aims mathematics. 2024 ; Vol. 9, No. 6. pp. 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