Applications of Measure of Noncompactness and Darbo's Fixed Point Theorem to Nonlinear Integral Equations in Banach Spaces
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We prove a theorem on the existence of solutions of some nonlinear functional integral equations in the Banach algebra of continuous functions on the interval [0,a]. Then we consider a nonlinear integral equation of fractional order and give some sufficient conditions for existence of solutions of this equation. We use fixed point theorems associated with the measure of noncompactness as the main tool. Our existence results include several results obtained in previous studies. Finally we present some examples which show that our results are applicable.
Açıklama
Anahtar Kelimeler
Darbo fixed-point theorem, Fixed point theorem in Banach algebra, Measure of noncompactness, Nonlinear integral equations, Riemann-Liouville fractional integral
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
38
Sayı
5
