Elina: Elina moved page Draft Shishkina 360439596 to Karimov et al Select a yeara

2025-12-03T05:47:29Z

Elina moved page Draft Shishkina 360439596 to Karimov et al Select a yeara

Elina: Created page with " == Abstract ==
This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)..."

2025-12-03T05:47:26Z

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)..."

New page

== Abstract ==

<p>This article investigates the problem of approximating the generalized Erdélyi-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 Erdélyi-Kober operator in modern fractional calculus and its applications.OPEN ACCESS Received: 06/06/2025 Accepted: 08/09/2025 Published: 27/10/2025</p>

== Document ==
<pdf>Media:Draft_Shishkina_360439596-5263-document.pdf</pdf>

← Older revision	Revision as of 05:47, 3 December 2025
(No difference)

Karimov et al Select a yeara - Revision history

Elina: Elina moved page Draft Shishkina 360439596 to Karimov et al Select a yeara

Elina: Created page with " == Abstract == This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)..."

Elina: Created page with " == Abstract ==
This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)..."