Zaky, M. A.Babatin, M.Hammad, M.Akgul, A.Hendy, A. S.2024-12-242024-12-2420242473-6988https://doi.org/10.3934/math.2024740https://hdl.handle.net/20.500.12604/8398Caputo-Hadamard-type fractional calculus involves the logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenges in numerical approximations. In this paper, we construct and analyze a spectral collocation approach using mapped Jacobi functions as basis functions and construct an efficient algorithm to solve systems of fractional pantograph delay differential equations involving Caputo-Hadamard fractional derivatives. What we study is the error estimates of the derived method. In addition, we tabulate numerical results to support our theoretical analysis.eninfo:eu-repo/semantics/openAccessmapped Jacobi functionsspectral methodsconvergence analysispantograph delay differential equationsArticle961524615262N/AWOS:001224093500003Q12-s2.0-8519188748710.3934/math.2024740