Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkic World Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial 3.0 United States
Attribution-NonCommercial 3.0 United States
Özet
In this paper, two successively iterative schemes have been provided to show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a parameter. The iterative sequences begin with some constant. The fractional derivative in this study is based on the newly defined and so called ”conformable fractional derivative”. The corresponding Green’s function that is singular at zero has been derived. Because of this singularity, the fixed point theorem can not be applied directly, thus a sequence of operators that are completely continuous is constructed and uniform convergence of these operators to the underlying operator is shown. Then a fixed point result on the order interval is applied. Nontrivial solutions of the problem and the positive solutions of the problem that are the limit of the iterative sequences constructed has been demonstrated.
Açıklama
Anahtar Kelimeler
Successive iteration, Conformable Fractional Differential equation, Boundary value problems, Order interval, Monotone iterative Schemes, Existence of solution
Kaynak
TWMS Journal Of Applied And Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
11
Sayı
1
Künye
Toprakseven, Ş. (2021). Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme. TWMS Journal Of Applied And Engineering Mathematics. 11(1), 89-301.
