Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations

In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives. We prove the uniqueness of solutions for the given problem by using Banach’s contractio...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Mohamed Houas, Mohammad Esmael Samei
Format:	Article
Language:	English
Published:	Elsevier 2024-03-01
Subjects:	Pantograph equation Fractional q–pantograph equation Fixed point Uniqueness Ulam–Hyers stability
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124000378