Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions

Autor:	Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Dumitru Baleanu, Eman Al-Sarairah, Majeed A. Yousif, Nejmeddine Chorfi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Nabla Riemann-Liouville fractional difference negative boundedness monotonicity analysis Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 626-639 (2024)
Druh dokumentu:	article
ISSN:	13873954 1744-5051 1387-3954
DOI:	10.1080/13873954.2024.2366335
Popis:	In this study, the sequential operator of mixed order is analysed on the domain [Formula: see text] with [Formula: see text]. Then, the positivity of the nabla operator is obtained analytically on a finite time scale under some conditions. As a consequence, our analytical results are introduced on a set, named [Formula: see text], on which the monotonicity analysis is obtained. Due to the complicatedness of the set [Formula: see text] several numerical simulations so are applied to estimate the structure of this set and they are provided by means of heat maps.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/24a436bd03a542b68e3945ee4dae6a23 Zobrazit plný text záznamu View record in DOAJ