ASYMPTOTIC STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDER
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.53, sa.2, ss.256-288, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 53 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.1556/012.2016.53.2.1332
- Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.256-288
- Anahtar Kelimeler: Nonlinear integral equations, measure of noncompactness, asymptotic stability, Darbo fixed-point theorem, Riemann-Liouville fractional integral, NONDECREASING SOLUTIONS, MONOTONIC SOLUTIONS, LOCAL ATTRACTIVITY, VOLTERRA TYPE, ABEL TYPE, EXISTENCE, NONCOMPACTNESS, BEHAVIOR, SOLVABILITY
- İnönü Üniversitesi Adresli: Evet
Özet
In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of asymptotically stable solutions of some nonlinear functional integral equations in the space of continuous and bounded functions on R+ = [ 0,infinity). We also give some examples satisfying the conditions our existence theorem.