Abstract
In this work, we study a nonlinear coupled system of fractional q-difference equations with nonlocal boundary conditions involving the fractional q-derivatives of the Caputo type. Uniqueness result for solution of the underlying problem is presented with the aid of Banach’s contraction principle, while the existence result is derived from Leray-Schauder’s alternative. Finally, we introduce some examples to support our main results.
Keywords
Uniqueness
Mathematics
Nonlinear system
Contraction principle
Boundary value problem
Mathematical analysis
Type (biology)
Contraction (grammar)
Banach space
Applied mathematics
Physics
Subject Areas
Differential Equations and Boundary Problems
·Applied Mathematics ·Physical Sciences
Differential Equations and Numerical Methods
·Numerical Analysis ·Physical Sciences
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
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