2024
DOI: 10.3934/math.2024740
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Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations

M. A. Zaky,
M. Babatin,
M. Hammad
et al.

Abstract: <abstract><p>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 es… Show more

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