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Mixed solutions of monotone iterative technique for hybrid fractional differential equations


Citation

Damag, Faten H. and Kilicman, Adem and Ibrahim, Rabha W. (2019) Mixed solutions of monotone iterative technique for hybrid fractional differential equations. Lobachevskii Journal of Mathematics, 40 (2). 156 -165. ISSN 1995-0802; ESSN: 1818-9962

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1134/S1995080219020069
Publisher: Pleiades Publishing
Keywords: Fractional differential equations; Fractional operators; Monotone sequences; Mixed solutions
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 23 Feb 2021 18:00
Last Modified: 23 Feb 2021 18:00
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1134/S1995080219020069
URI: http://psasir.upm.edu.my/id/eprint/81375
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