Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels
dc.contributor.author | Mohammed, Pshtiwan Othman | |
dc.contributor.author | Srivastava, Hari Mohan | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Al-Sarairah, Eman | |
dc.contributor.author | Sahoo, Soubhagya Kumar | |
dc.contributor.author | Chorfi, Nejmeddine | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2024-01-12T11:49:11Z | |
dc.date.available | 2024-01-12T11:49:11Z | |
dc.date.issued | 2023 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | The 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.publishedMonth | 10 | |
dc.identifier.citation | Mohammed, 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.doi | 10.1016/j.jksus.2023.102794 | |
dc.identifier.issn | 10183647 | |
dc.identifier.issue | 7 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/6876 | |
dc.identifier.volume | 35 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Journal of King Saud University - Science | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Discrete Atangana-Baleanu Fractional Operators | en_US |
dc.subject | Discrete Caputo-Fabrizo Operators | en_US |
dc.subject | Discrete Fractional Calculus | en_US |
dc.subject | Monotonicity And Positivity | en_US |
dc.title | Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels | tr_TR |
dc.title | Monotonicity and Positivity Analyses for Two Discrete Fractional-Order Operator Types With Exponential and Mittag–leffler Kernels | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |