Open AccessBoundary value problems of nonlinear fractional q-difference (integral) equations with two fractional orders and four-point nonlocal integral boundary conditions
Author(s) -
Bashir Ahmad,
Juan J. Nieto,
Ahmed Alsaedi,
Hana Al-Hutami
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1408719a
Subject(s) - mathematics , mathematical analysis , nonlinear system , fractional calculus , integral equation , boundary value problem , fixed point theorem , boundary (topology) , quantum mechanics , physics
This paper investigates the existence of solutions for nonlinear fractional q-difference equations and q-difference integral equations involving two fractional orders with four-point nonlocal integral boundary conditions. The existence results are obtained by applying some traditional tools of fixed point theory, and are illustrated with examples.