Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems

Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 23 February 2025 V1 Latest version Share on Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems Authors : Mohammed Elamine Beroudj and Abdelaziz Mennouni 0000-0002-0791-5866 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174034993.35305786/v1 273 views 236 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This research investigates an inverse problem related to a fractional partial differential equation of order α ∈(0 , 2]. This equation is connected to a differential equation defined by Chebyshev polynomials of the first kind. We start by establishing the existence and uniqueness of solutions for the given fractional evolution equation. Utilizing the first kind of Chebyshev polynomials as a basis, we derive the solutions through a series expansion and examine its convergence. Supplementary Material File (menber5v1.pdf) Download 331.79 KB Information & Authors Information Version history V1 Version 1 23 February 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords caputo fractional derivative chebyshev polynomials of the first kind inverse problem involution spectral problem Authors Affiliations Mohammed Elamine Beroudj Universite Batna 2 View all articles by this author Abdelaziz Mennouni 0000-0002-0791-5866 [email protected] Universite Batna 2 View all articles by this author Metrics & Citations Metrics Article Usage 273 views 236 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Mohammed Elamine Beroudj, Abdelaziz Mennouni. Chebyshev Polynomials of the First Kind for Solving a Novel Fractional Inverse Problems. Authorea . 23 February 2025. DOI: https://doi.org/10.22541/au.174034993.35305786/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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