|
Title
|
Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions
|
|
Type
|
JournalPaper
|
|
Keywords
|
Pantograph q-difference problem; Caputo fractional q-difference derivatives; Schaefer fixed-point theorem
|
|
Abstract
|
In 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.
|
|
Researchers
|
Abdelouaheb Ardjouni (Third Researcher), Mohammad Esmael Samei (Second Researcher), Adel Lachouri (First Researcher)
|