| Abstract: |
| We study a class of nonlinear fractional difference equations with nonlocal boundary conditions at resonance.
The system is inspired by the three-point boundary value problem for differential equations that have been
extensively studied. It is also an extension to a fractional difference equation arising from real-world applications.
Applying the coincidence degree theory for semi-linear operators, we are able to obtain sufficient conditions for the existence of solutions. In addition, we prove a new property of the Gamma function and construct a family of examples to illustrate the applications of the results. |
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