Solvability and stability for a fractional quantum jerk type problem including Riemann–Liouville-Caputo fractional q−derivatives

Solvability and stability for a fractional quantum jerk type problem including Riemann–Liouville-Caputo fractional q−derivatives

This manuscript studies the existence and Ulam–Hyers stability results of solutions of q−fractional jerk type problem. The uniqueness of solutions is established by means of Banach’s contraction mapping principle, while the existence of solutions is derived from Leray–Schauder’s alternative. Also th...

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Bibliographic Details
Main Authors: Mohamed Houas, Mohammad Esmael Samei, Shahram Rezapour
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Fractional q−difference equations
Fractional jerk equation
Existence
Nonlinear analysis
Ulam–Hyers stability
Online Access:http://www.sciencedirect.com/science/article/pii/S266681812300027X

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http://www.sciencedirect.com/science/article/pii/S266681812300027X

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