A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation

A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation

Abstract This study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs). The approach utilizes a spectral collocation method grounded in shifted Chebyshev polynomials of the second kin...

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Bibliographic Details
Main Authors: Maha M. Hamood, Abdulrahman A. Sharif, Kirtiwant P. Ghadle
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
Subjects:
Caputo fractional derivative
collocation points
Chebyshev polynomial
Online Access:https://doi.org/10.1038/s41598-025-13732-7
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