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On a nonlocal Sturm–Liouville problem with composite fractional derivatives
Author(s) -
Li Jing,
Qi Jiangang
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6893
Subject(s) - sturm–liouville theory , mathematics , eigenvalues and eigenvectors , multiplicity (mathematics) , operator (biology) , fractional calculus , mathematical analysis , composite number , pure mathematics , boundary value problem , physics , quantum mechanics , algorithm , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, we obtain the existence of solutions for a nonlocal Sturm–Liouville problem with composite fractional derivatives under some initial value conditions. Furthermore, applying above results and operator theory, we specifically research the geometric multiplicity of eigenvalues for the nonlocal Sturm–Liouville eigenvalue problem.