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Öğe Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations(Amer Inst Mathematical Sciences-Aims, 2024) Zaky, M. A.; Babatin, M.; Hammad, M.; Akgul, A.; Hendy, A. S.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.
