Author:
Lachouri Adel,Samei Mohammad Esmael,Ardjouni Abdelouaheb
Abstract
AbstractIn this present manuscript, by applying fractional quantum calculus, we study a nonlinear fractional pantograph q-difference equation with nonlocal boundary conditions. We prove the existence and uniqueness results by using the well-known fixed-point theorems of Schaefer and Banach. We also discuss the Ulam–Hyers stability of the mentioned pantograph q-difference problem. Lastly, the paper includes pertinent examples to support our theoretical analysis and justify the validity of the results.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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