@article{Zaky2024, 
author = {M. A. Zaky and M. Babatin and M. Hammad and A. Akgül and A. S. Hendy},
title = {Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {15246-15262},
keywords = {mapped Jacobi functions, spectral methods, convergence analysis, pantograph delay differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2024740},
doi = {10.3934/math.2024740},
abstract = {Caputo-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.}
}