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BVPs with the nonlinearity depending on the fractional derivative.
- Source :
- Asian-European Journal of Mathematics; Ju2022, Vol. 15 Issue 6, p1-15, 15p
- Publication Year :
- 2022
-
Abstract
- In this paper, we study the existence and the numerical estimates of the solutions for a set of fractional differential equations. The nonlinear part of the problem, however, presupposes certain hypotheses. Particularly, for the exact localization of the parameter, the existence of a non-zero solution is established, which requires the sublinearity of the nonlinear part at origin and infinity. The novelty of this paper is to use variational methods to obtain the multiplicity of solutions of boundary value problems with the nonlinearity depending on the fractional derivative. [ABSTRACT FROM AUTHOR]
- Subjects :
- BOUNDARY value problems
NONLINEAR equations
FRACTIONAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 17935571
- Volume :
- 15
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Asian-European Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 157447233
- Full Text :
- https://doi.org/10.1142/S1793557122501078