Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions

Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions

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...

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Bibliographic Details
Main Authors: Adel Lachouri, Mohammad Esmael Samei, Abdelouaheb Ardjouni
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:Boundary Value Problems
Subjects:
Pantograph q-difference problem
Caputo fractional q-difference derivatives
Schaefer fixed-point theorem
Online Access:https://doi.org/10.1186/s13661-022-01691-1

Internet

https://doi.org/10.1186/s13661-022-01691-1

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