Solvability of nonlocal fractional boundary value problems (Q1956141)

Summary: We introduce a new approach to investigate the existence of solutions for a three-point boundary value problem of fractional difference equations as fllows: \(\Delta^\nu y(t) = f(t + \nu - 1, y(t + \nu -1), \Delta y(t + \nu -2)), y(\nu -2) = 0\), and \([\Delta^\alpha y(t)]_{t = \nu + b - \alpha + 1} = \gamma[\Delta^\alpha y(t)]_{t = \nu + \xi - \alpha^\ast}\). We present an existence result at resonance case. The proof relies on coincidence degree theory.