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Research Article | Open Access

Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods

Eman A. A. Ziada1, Hind Hashem2, Asma Al-Jaser3( ), Osama Moaaz4, Monica Botros5,6
Basic Science Department, Nile Higher Institute for Engineering and Technology, Mansoura, Egypt
Faculty of Science, Alexandria University, Egypt
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa 11152, Egypt
Faculty of Artificial Intelligence, Delta University for Science and Technology, Gamasa 11152, Egypt
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Abstract

This research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. Using the Adomian decomposition method (ADM) and the Picard method (PM), we studied the Chandrasekhar quadratic integral equation (QIE). Furthermore, we investigated existence and uniqueness results using measures of weak noncompactness. Through a set of examples and numerical simulations, a comparison was made between the results of the AMD and PM.

Keywords

hybrid integral equationmeasure of noncompactnessAdomian decomposition methodPicard methodfractional derivatives

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Electronic Research Archive
Volume 32 Issue 11,
November 2024
Pages 5943-5965
DOI: 10.3934/era.2024275

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Ziada EAA, Hashem H, Al-Jaser A, et al. Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods. Electronic Research Archive, 2024, 32(11): 5943-5965. https://doi.org/10.3934/era.2024275

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Received: 19 July 2024
Revised: 12 October 2024
Accepted: 24 October 2024
Published: 05 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)