“…Indeed, Abel's integral equation is one of the most famous equations that frequently appear in many engineering problems and physical properties such as heat conduction, semiconductors, chemical reactions, and metallurgy (see, e.g., [6,7]). Besides, over the past few years, many numerical methods for solving Abel's integral equation have been developed, such as collocation methods [8], product integration methods [9,10], fractional multistep methods [11][12][13], methods based on wavelets [14][15][16], backward Euler methods [9], Adomian decomposition method [17], and Tau approximation method [18].…”