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

Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels

dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAl-Sarairah, Eman
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorChorfi, Nejmeddine
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-12T11:49:11Z
dc.date.available2024-01-12T11:49:11Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe discrete analysed fractional operator technique was employed to demonstrate positive findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional operators. Our tests utilized discrete fractional operators with orders between 1<φ<2, as well as between 1<φ<[Formula presented]. We employed the initial values of Mittag–Leffler functions and applied the principle of mathematical induction to ensure the positivity of the discrete fractional operators at each time step. As a result, we observed a significant impact of the positivity of these operators on ∇Q(τ) within Np0+1 according to the Riemann–Liouville interpretation. Furthermore, we established a correlation between the discrete fractional operators based on the Liouville-Caputo and Riemann–Liouville definitions. In addition, we emphasized the positivity of ∇Q(τ) in the Liouville-Caputo sense by utilizing this relationship. Two examples are presented to validate the results.en_US
dc.description.publishedMonth10
dc.identifier.citationMohammed, Pshtiwan Othman;...et.al. (2023). "Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels", Journal of King Saud University - Science, Vol35, No.7.en_US
dc.identifier.doi10.1016/j.jksus.2023.102794
dc.identifier.issn10183647
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6876
dc.identifier.volume35en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of King Saud University - Scienceen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDiscrete Atangana-Baleanu Fractional Operatorsen_US
dc.subjectDiscrete Caputo-Fabrizo Operatorsen_US
dc.subjectDiscrete Fractional Calculusen_US
dc.subjectMonotonicity And Positivityen_US
dc.titleMonotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernelstr_TR
dc.titleMonotonicity and Positivity Analyses for Two Discrete Fractional-Order Operator Types With Exponential and Mittag–leffler Kernelsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Article.pdf
Size:
454.64 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: