http://www.colloquiam.com/wd/index.php?action=history&feed=atom&title=Karimov_et_al_2025aKarimov et al 2025a - Revision history2026-05-11T05:54:03ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10http://www.colloquiam.com/wd/index.php?title=Karimov_et_al_2025a&diff=325817&oldid=prevScipediacontent: Scipediacontent moved page Review 367283704970 to Karimov et al 2025a2025-10-29T10:36:37Z<p>Scipediacontent moved page <a href="/public/Review_367283704970" class="mw-redirect" title="Review 367283704970">Review 367283704970</a> to <a href="/public/Karimov_et_al_2025a" title="Karimov et al 2025a">Karimov et al 2025a</a></p>
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</td></tr></table>Scipediacontenthttp://www.colloquiam.com/wd/index.php?title=Karimov_et_al_2025a&diff=325777&oldid=prevJSanchez: JSanchez moved page Draft Sanchez Pinedo 986077751 to Review 3672837049702025-10-29T09:25:03Z<p>JSanchez moved page <a href="/public/Draft_Sanchez_Pinedo_986077751" class="mw-redirect" title="Draft Sanchez Pinedo 986077751">Draft Sanchez Pinedo 986077751</a> to <a href="/public/Review_367283704970" class="mw-redirect" title="Review 367283704970">Review 367283704970</a></p>
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</td></tr></table>JSanchezhttp://www.colloquiam.com/wd/index.php?title=Karimov_et_al_2025a&diff=325776&oldid=prevJSanchez: Created page with " == Abstract == <p>This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)..."2025-10-29T09:24:25Z<p>Created page with " == Abstract == <p>This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)..."</p>
<p><b>New page</b></p><div><br />
== Abstract ==<br />
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<p>This article investigates the problem of approximating the generalized Erd&eacute;lyi-Kober fractional operator (often referred to as the Lowndes operator) using cubic splines. A method based on cubic spline interpolation is proposed for approximating the operator on a non-uniform grid. The convergence rate of the proposed method is proven, and its stability is analyzed. Error bounds are established for functions in the class C4[0; b], providing a mathematical justification for the accuracy of the approximation. The efficiency of the method is validated through practical examples using test functions such as f (x)= x4.7and f (x)= cos x, with results presented in graphical and numerical forms. This approach ensures high accuracy and flexibility in computing fractional integrals, which is of significant importance for solving fractional models used in physics, engineering, and other sciences. The article also provides an overview of the role of the generalized Erd&eacute;lyi-Kober operator in modern fractional calculus and its applications.OPEN ACCESS Received: 06/06/2025 Accepted: 08/09/2025 Published: 27/10/2025</p><br />
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== Document ==<br />
<pdf>Media:Draft_Sanchez Pinedo_986077751-2192-document.pdf</pdf></div>JSanchez