Zaky, Mahmoud A.Ameen, Ibrahem G.Babatin, MohammedAkgul, AliHammad, MagdaLopes, Antonio M.2024-12-242024-12-2420242504-3110https://doi.org/10.3390/fractalfract8050262https://hdl.handle.net/20.500.12604/8217In this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo-Hadamard differential equations. Since the Caputo-Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual spectral methods that are classical polynomial-based schemes. Hence, we construct a non-polynomial spectral collocation scheme, describe its effective implementation, and derive its convergence analysis in both L2 and L infinity. In addition, we provide numerical results to support our theoretical analysis.eninfo:eu-repo/semantics/openAccessorthogonal functionsspectral methodserror analysisCaputo-Hadamard derivativeArticle85N/AWOS:001232215800001Q12-s2.0-8519424422610.3390/fractalfract8050262