Biological experiments based on fractional integral equations
This paper deals with modeling of mathematical biological experiments using the iterative fractional integral equations following type (1) w(u)=h(u)+∫u0u(u−r)βΓ(β+1)K(r,w(w(r)))dr(1) where u0, u ∈ [a, b], w, h ∈ C([a, b] × [a, b]), K ∈ C([a, b] × [a, b]). We propose that the mathematical model (1) c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73283/ http://psasir.upm.edu.my/id/eprint/73283/1/FRAC.pdf |
| _version_ | 1848857255821180928 |
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| author | Kilicman, Adem Damag, Faten Hasan Mohammed |
| author_facet | Kilicman, Adem Damag, Faten Hasan Mohammed |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper deals with modeling of mathematical biological experiments using the iterative fractional integral equations following type (1) w(u)=h(u)+∫u0u(u−r)βΓ(β+1)K(r,w(w(r)))dr(1) where u0, u ∈ [a, b], w, h ∈ C([a, b] × [a, b]), K ∈ C([a, b] × [a, b]). We propose that the mathematical model (1) containing the iterative integral of fractional order that is the best method in the studying this field. We establish the existence and uniqueness solutions for fractional iterative integral equation by using the technique function h non-expansive mappings. Also, we show the results of the system of fractional iterative integral equation by using the technique of non-expansive operators. |
| first_indexed | 2025-11-15T11:54:39Z |
| format | Article |
| id | upm-73283 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:54:39Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-732832020-11-30T08:39:36Z http://psasir.upm.edu.my/id/eprint/73283/ Biological experiments based on fractional integral equations Kilicman, Adem Damag, Faten Hasan Mohammed This paper deals with modeling of mathematical biological experiments using the iterative fractional integral equations following type (1) w(u)=h(u)+∫u0u(u−r)βΓ(β+1)K(r,w(w(r)))dr(1) where u0, u ∈ [a, b], w, h ∈ C([a, b] × [a, b]), K ∈ C([a, b] × [a, b]). We propose that the mathematical model (1) containing the iterative integral of fractional order that is the best method in the studying this field. We establish the existence and uniqueness solutions for fractional iterative integral equation by using the technique function h non-expansive mappings. Also, we show the results of the system of fractional iterative integral equation by using the technique of non-expansive operators. IOP Publishing 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73283/1/FRAC.pdf Kilicman, Adem and Damag, Faten Hasan Mohammed (2018) Biological experiments based on fractional integral equations. Journal of Physics: Conference Series, 1132. art. no. 012023. pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012023/pdf 10.1088/1742-6596/1132/1/012023 |
| spellingShingle | Kilicman, Adem Damag, Faten Hasan Mohammed Biological experiments based on fractional integral equations |
| title | Biological experiments based on fractional integral equations |
| title_full | Biological experiments based on fractional integral equations |
| title_fullStr | Biological experiments based on fractional integral equations |
| title_full_unstemmed | Biological experiments based on fractional integral equations |
| title_short | Biological experiments based on fractional integral equations |
| title_sort | biological experiments based on fractional integral equations |
| url | http://psasir.upm.edu.my/id/eprint/73283/ http://psasir.upm.edu.my/id/eprint/73283/ http://psasir.upm.edu.my/id/eprint/73283/ http://psasir.upm.edu.my/id/eprint/73283/1/FRAC.pdf |