Mixed Solutions of Monotone Iterative Technique for Hybrid Fractional Differential Equations
- Authors: Damag F.H.1, Kılıçman A.2,3, Ibrahim R.W.4
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Affiliations:
- Department of Mathematics
- Department of Mathematics and Institute for Mathematical Researchs
- Istanbul Gelisim University
- Institute of Mathematical Sciences
- Issue: Vol 40, No 2 (2019)
- Pages: 156-165
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203894
- DOI: https://doi.org/10.1134/S1995080219020069
- ID: 203894
Cite item
Abstract
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.
About the authors
Faten H. Damag
Department of Mathematics
Author for correspondence.
Email: faten_212326@hotmail.com
Yemen, Taiz
Adem Kılıçman
Department of Mathematics and Institute for Mathematical Researchs; Istanbul Gelisim University
Author for correspondence.
Email: akilic@upm.edu.my
Malaysia, Serdang, Selangor, 43400 UPM; Avcilar
Rabha W. Ibrahim
Institute of Mathematical Sciences
Author for correspondence.
Email: rabhaibrahim@yahoo.com
Malaysia, Kuala Lumpur, 50603