Existence and stability results of pantograph equation with three sequential fractional derivatives
Date
2022-12-14Author
Houas, Mohamed
Kaushik, Kirti
Kumar, Anoop
Khan, Aziz
Abdeljawad, Thabet
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Show full item recordAbstract
The subject of this work is the existence and Mittag-Leffler-Ulam (MLU) stability of solutions for fractional pantograph equations with three sequential fractional derivatives. Sufficient conditions for the existence and uniqueness of solutions are constructed by utilizing well-known classical fixed point theorems such as the Banach contraction principle, and Leray-Schauder nonlinear alternative. The generalized singular Gronwall�s inequality is used to show the MLU stability results. An illustrated example is provided to support the main findings. � 2023 the Author(s), licensee AIMS Press.
Journal
AIMS Mathematics
Access Type
Open Access