http://www.colloquiam.com/wd/index.php?action=history&feed=atom&title=Abuasbeh_et_al_2025aAbuasbeh et al 2025a - Revision history2026-05-11T07:31:54ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10http://www.colloquiam.com/wd/index.php?title=Abuasbeh_et_al_2025a&diff=327836&oldid=prevScipediacontent: Scipediacontent moved page Review 294574741320 to Abuasbeh et al 2025a2025-11-27T10:11:12Z<p>Scipediacontent moved page <a href="/public/Review_294574741320" class="mw-redirect" title="Review 294574741320">Review 294574741320</a> to <a href="/public/Abuasbeh_et_al_2025a" title="Abuasbeh et al 2025a">Abuasbeh et al 2025a</a></p>
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</td></tr></table>Scipediacontenthttp://www.colloquiam.com/wd/index.php?title=Abuasbeh_et_al_2025a&diff=327820&oldid=prevJSanchez: JSanchez moved page Draft Sanchez Pinedo 163935222 to Review 2945747413202025-11-27T09:43:17Z<p>JSanchez moved page <a href="/public/Draft_Sanchez_Pinedo_163935222" class="mw-redirect" title="Draft Sanchez Pinedo 163935222">Draft Sanchez Pinedo 163935222</a> to <a href="/public/Review_294574741320" class="mw-redirect" title="Review 294574741320">Review 294574741320</a></p>
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<td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 09:43, 27 November 2025</td>
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</td></tr></table>JSanchezhttp://www.colloquiam.com/wd/index.php?title=Abuasbeh_et_al_2025a&diff=327819&oldid=prevJSanchez: Created page with " == Abstract == <p>This paper presents a rigorous framework for generalizing Laguerre polynomials to the fractional domain using the Caputo derivative. We solve the resulting..."2025-11-27T09:43:15Z<p>Created page with " == Abstract == <p>This paper presents a rigorous framework for generalizing Laguerre polynomials to the fractional domain using the Caputo derivative. We solve the resulting..."</p>
<p><b>New page</b></p><div><br />
== Abstract ==<br />
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<p>This paper presents a rigorous framework for generalizing Laguerre polynomials to the fractional domain using the Caputo derivative. We solve the resulting fractional Laguerre differential equation via the power series method, deriving an explicit formfor the fractional Laguerre functions. A key contribution is the identification of a novel weight function, w&alpha;(x) = x&minus;(2&alpha;&minus;1)e&minus;x, which is essential to prove the orthogonality of these functions over the interval [0,&infin;). Comprehensive numerical validation is provided, confirming the theoretical orthogonality across a wide range of fractional orders &alpha; and demonstrating a clean reduction to the classical polynomials when &alpha; = 2. An analysis of computational feasibility confirms the practical applicability of these functions for solving fractional differential equations and other applied problems.</p><br />
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== Document ==<br />
<pdf>Media:Draft_Sanchez Pinedo_163935222-6972-document.pdf</pdf></div>JSanchez