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 M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al-Sarairah, Eman | |
| dc.contributor.author | Sahoo, Soubhagya Kumar | |
| dc.contributor.author | Chorfi, Nejmeddine | |
| dc.date.accessioned | 2024-03-20T16:03:01Z | |
| dc.date.available | 2024-03-20T16:03:01Z | |
| dc.date.issued | 2023 | |
| 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<32. 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. | |
| dc.description.reviewstatus | Reviewed | |
| dc.description.scholarlevel | Faculty | |
| dc.description.sponsorship | Researchers Supporting Project number (RSP2023R153), King Saud University, Riyadh, Saudi Arabia. | |
| dc.identifier.citation | Mohammed, P. O., Srivastava, H. M., Baleanu, D., Al-Sarairah, E., Sahoo, S. K., & Chorfi, N. Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels. Journal of King Saud University - Science, 35(7), 102794. https://doi.org/10.1016/j.jksus.2023.102794 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jksus.2023.102794 | |
| dc.identifier.uri | https://hdl.handle.net/1828/16236 | |
| dc.language.iso | en | |
| dc.publisher | Journal of King Saud University - Science | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Monotonicity and positivity analyses for two discrete fractional-order operator types with exponential and Mittag–Leffler kernels | |
| dc.type | Article |