Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

An Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systems

dc.contributor.authorQin, Ya
dc.contributor.authorKhan, Adnan
dc.contributor.authorAli, Izaz
dc.contributor.authorAl Qurashi, Maysaa
dc.contributor.authorKhan, Hassan
dc.contributor.authorShah, Rasool
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-07T11:42:31Z
dc.date.available2021-01-07T11:42:31Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractMostly, it is very difficult to obtained the exact solution of fractional-order partial differential equations. However, semi-analytical or numerical methods are considered to be an alternative to handle the solutions of such complicated problems. To extend this idea, we used semi-analytical procedures which are mixtures of Laplace transform, Shehu transform and Homotopy perturbation techniques to solve certain systems with Caputo derivative differential equations. The effectiveness of the present technique is justified by taking some examples. The graphical representation of the obtained results have confirmed the significant association between the actual and derived solutions. It is also shown that the suggested method provides a higher rate of convergence with a very small number of calculations. The problems with derivatives of fractional-order are also solved by using the present method. The convergence behavior of the fractional-order solutions to an integer-order solution is observed. The convergence phenomena described a very broad concept of the physical problems. Due to simple and useful implementation, the current methods can be used to solve problems containing the derivative of a fractional-order.en_US
dc.description.publishedMonth6
dc.identifier.citationQin, Ya...et al. (2020). "An Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systems", Energies, Vol. 13, No. 11.en_US
dc.identifier.doi10.3390/en13112725
dc.identifier.issn1996-1073
dc.identifier.issue11en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4454
dc.identifier.volume13en_US
dc.language.isoenen_US
dc.relation.ispartofEnergiesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHomotory Perturbation Methoden_US
dc.subjectShehu Transformen_US
dc.subjectBurger Equationen_US
dc.subjectCaputo Operatoren_US
dc.titleAn Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systemstr_TR
dc.titleAn Efficient Analytical Approach for the Solution of Certain Fractional-Order Dynamical Systemsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Baleanu, Dumitru.pdf
Size:
805.19 KB
Format:
Adobe Portable Document Format
Description:
Yayıncı sürümü

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: