In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of the fractional spaces involved is necessary. We also give an example to illustrate the obtained result.
Mohseni Kolagar, S., Afrouzi, G. A. & Hadjian, A. (2016). Existence of three solutions for a class of fractional boundary value systems. International Journal of Nonlinear Analysis and Applications, 7(2), 351–362. https://doi.org/10.22075/ijnaa.2017.1241.1296
MLA
Mohseni Kolagar, S., Afrouzi, G. A., & Hadjian, A. "Existence of three solutions for a class of fractional boundary value systems", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 351–362. doi: 10.22075/ijnaa.2017.1241.1296
HARVARD
Mohseni Kolagar, S., Afrouzi, G. A., & Hadjian, A. (2016). 'Existence of three solutions for a class of fractional boundary value systems', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 351–362. doi: 10.22075/ijnaa.2017.1241.1296
CHICAGO
Mohseni Kolagar, S., Afrouzi, G. A. & Hadjian, A., "Existence of three solutions for a class of fractional boundary value systems." International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 351–362, doi: 10.22075/ijnaa.2017.1241.1296
VANCOUVER
Mohseni Kolagar S., Afrouzi G. A., Hadjian A. Existence of three solutions for a class of fractional boundary value systems. IJNAA. 2016;7(2):351–362. doi: 10.22075/ijnaa.2017.1241.1296
International Journal of Nonlinear Analysis and Applications