Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions

• Published in: Journal of function spaces Vol. 2020; no. 2020; pp. 1 - 10
• Main Authors: Tariboon, Jessada, Ntouyas, Sotiris K., Thatsatian, Arisa, Wongcharoen, Athasit
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 05.10.2020; Hindawi; John Wiley & Sons, Inc; Wiley
• Subjects: Analysis; Boundary conditions; Boundary value problems; Calculus; Difference equations; Differential equations; Fixed points (mathematics); Integrals; Theorems

In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our analysis is based on Banach’s fixed point the...