Mixed Solutions of Monotone Iterative Technique for Hybrid Fractional Differential Equations
Lobachevskii Journal of Mathematics, cilt.40, sa.2, ss.156-165, 2019 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.1134/s1995080219020069
- Dergi Adı: Lobachevskii Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.156-165
- Anahtar Kelimeler: Fractional differential equations, fractional operators, mixed solutions, monotone sequences
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
© 2019, Pleiades Publishing, Ltd.In this present work we concern with mathematical modelling of biological experiments. The fractional hybrid iterative differential equations are suitable for mathematical modelling of biology and also interesting equations since the structure are rich with particular properties. The solution technique is based on the Dhage fixed point theorem that describes the mixed solutions by monotone iterative technique in the nonlinear analysis. In this method we combine two solutions, namely, lower and upper solutions. It is shown an approximate result for the hybrid fractional differential equations in the closed assembly formed by the lower and upper solutions.