In this present work, the existence and uniqueness of solutions for fractional pantograph differential equations involving Riemann-Liouville and Caputo fractional derivatives are established by applying contraction mapping principle and Leray-Schauder?s alternative. The Mittag-Leffler-Ulam stability results are also obtained via generalized singular Gronwall?s inequality. Finally, we give an illustrative example.
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Houas et al. (2023) studied this question.
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