Open AccessExistence of Solutions for Fractional Boundary Value Problems with a Quadratic Growth of Fractional Derivative
Author(s) -
Yaning Li,
Quanguo Zhang,
Baoyan Sun
Publication year - 2020
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2020/7139795
Subject(s) - fractional calculus , mathematics , quadratic equation , boundary value problem , derivative (finance) , nonlinear system , term (time) , mathematical analysis , physics , geometry , quantum mechanics , financial economics , economics
In this paper, we deal with two fractional boundary value problems which have linear growth and quadratic growth about the fractional derivative in the nonlinearity term. By using variational methods coupled with the iterative methods, we obtain the existence results of solutions. To the best of the authors’ knowledge, there are no results on the solutions to the fractional boundary problem which have quadratic growth about the fractional derivative in the nonlinearity term.