A Razumikhin Approach To Stability and Synchronization Criteria for Fractional Order Time Delayed Gene Regulatory Networks
| dc.contributor.author | Hincal, Evren | |
| dc.contributor.author | Ramachandran, Raja | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Cao, Jinde | |
| dc.contributor.author | Niezabitowski, Michal | |
| dc.contributor.author | Anbalagan, Pratap | |
| dc.date.accessioned | 2022-03-04T12:22:47Z | |
| dc.date.accessioned | 2025-09-18T14:09:49Z | |
| dc.date.available | 2022-03-04T12:22:47Z | |
| dc.date.available | 2025-09-18T14:09:49Z | |
| dc.date.issued | 2021 | |
| dc.description | Niezabitowski, Michal/0000-0003-4553-5351; Anbalagan, Pratap/0000-0002-5990-7315 | en_US |
| dc.description.abstract | This manuscript is concerned with the stability and synchronization for fractional-order delayed gene regulatory networks (FODGRNs) via Razumikhin approach. First of all, the existence of FODGRNs are established by using homeomorphism theory, 2-norm based on the algebraic method and Cauchy Schwartz inequality. The uniqueness of this work among the existing stability results are, the global Mittag-Letter stability of FODGRNs is explored based on the fractional-order Lyapunov Razumikhin approach. In the meanwhile, two different controllers such as linear feedback and adaptive feedback control, are designed respectively. With the assistance of fractional Razumikhin theorem and our designed controllers, we have established the global Mittag-Letter synchronization and adaptive synchronization for addressing master-slave systems. Finally, three numerical cases are given to justify the applicability of our stability and synchronization results. | en_US |
| dc.description.sponsorship | RUSA Phase 2.0, Policy (TN MultiGen), Dept.of Edn. Govt. of India [F 2451/2014U]; UGC-SAP (DRS-I) [F.510/8/DRSI/2016]; DST-PURSE 2nd Phase programme [SR/PURSE Phase 2/38]; DST [657876570, SR/FIST/MSI/2018/17]; National Science Centre in Poland [DEC-2017/25/B/ST7/02888] | en_US |
| dc.description.sponsorship | This article has been written with the joint partial financial support of RUSA Phase 2.0 Grant No. F 2451/2014U, Policy (TN MultiGen) , Dept.of Edn. Govt. of India, UGC-SAP (DRS-I) Grant No. F.510/8/DRSI/2016 (SAPI) , DST-PURSE 2nd Phase programme vide letter No. SR/PURSE Phase 2/38 (G) , DST (FISTlevel I) 657876570 Grant No.SR/FIST/MSI/2018/17 and the National Science Centre in Poland Grant DEC-2017/25/B/ST7/02888. | en_US |
| dc.identifier.citation | Anbalagan, Pratap...et al. (2021). "A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks", AIMS Mathematics, Vol. 6, No. 5, pp. 4526-4555. | en_US |
| dc.identifier.doi | 10.3934/math.2021268 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85101291997 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021268 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13499 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Gene Regulatory Networks | en_US |
| dc.subject | Fractional-Order | en_US |
| dc.subject | Existence And Stability | en_US |
| dc.subject | Synchronization | en_US |
| dc.subject | Linear Feedback Control | en_US |
| dc.subject | Adaptive Feedback Control | en_US |
| dc.title | A Razumikhin Approach To Stability and Synchronization Criteria for Fractional Order Time Delayed Gene Regulatory Networks | en_US |
| dc.title | A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Niezabitowski, Michal/0000-0003-4553-5351 | |
| gdc.author.id | Anbalagan, Pratap/0000-0002-5990-7315 | |
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| gdc.author.wosid | Raja, R./Y-7657-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Cao, Jinde/D-1482-2012 | |
| gdc.author.wosid | Anbalagan, Pratap/Aas-7811-2020 | |
| gdc.author.wosid | Niezabitowski, Michal/H-3407-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Anbalagan, Pratap] Alagappa Univ, Dept Math, Karaikkudi 630004, Tamil Nadu, India; [Hincal, Evren] Near East Univ, Dept Math, Mersin 10, Trnc, Turkey; [Ramachandran, Raja] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China; [Cao, Jinde] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea; [Niezabitowski, Michal] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, Akad 16, PL-44100 Gliwice, Poland; [Niezabitowski, Michal] Silesian Tech Univ, Dept Automat Control & Robot, Akad 16, PL-44100 Gliwice, Poland | en_US |
| gdc.description.endpage | 4555 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 4526 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | linear feedback control | |
| gdc.oaire.keywords | adaptive feedback control | |
| gdc.oaire.keywords | existence and stability | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | gene regulatory networks | |
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