Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Ramazan Ozarslan"'
Publikováno v:
AIMS Mathematics, Vol 5, Iss 3, Pp 2608-2628 (2020)
This article is devoted to investigate the fractional falling body problem relied on Newton's second law. We analyze this physical model by means of Atangana-Baleanu fractional derivative in the sense of Caputo (ABC), generalized fractional derivativ
Externí odkaz:
https://doaj.org/article/eafb61276d88424abd868aceaa28a96b
Publikováno v:
AIMS Mathematics, Vol 5, Iss 2, Pp 1359-1371 (2020)
In this study, discrete fractional hydrogen atom (DFHA) operators are presented. Hydrogen atom differential equations have series solution due to having singularity and also obtaining a series solution for DFHA equations have some difficulties, for t
Externí odkaz:
https://doaj.org/article/d42d5e1bc5c44ac68271370ed7fcbcff
Publikováno v:
AIMS Mathematics, Vol 5, Iss 1, Pp 467-481 (2020)
In this manuscript the fractional form of wind-influenced projectile motion equations which have a significant place in physics is extensively investigated by preserving dimensionality of the physical quantities for fractional operators and features
Externí odkaz:
https://doaj.org/article/9c25d5ed793c429086fcc7b19ccff489
Publikováno v:
AIMS Mathematics, Vol 4, Iss 3, Pp 805-820 (2019)
In the current study, price adjustment equation which takes an important place in market equilibrium is presented in consideration of truncated M-derivative including Mittag-Leffler function, beta-derivative and conformable derivative defined in the
Externí odkaz:
https://doaj.org/article/8592c1dafef54f38aa29ea32cd7d7fd6
Autor:
Erdal Bas, Ramazan Ozarslan
Publikováno v:
AIMS Mathematics, Vol 4, Iss 3, Pp 593-612 (2019)
In this article, we study discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operators. Self-adjointness of the DFSL operator is analyzed and fundamental
Externí odkaz:
https://doaj.org/article/5c5ad8f0acac4a3a94049d3b8339a337
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-19 (2018)
Abstract In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann–Liouville and Ca
Externí odkaz:
https://doaj.org/article/542829a058db4ca592f817c35541f822
Autor:
Ramazan Ozarslan, Erdal Bas
Publikováno v:
Fractal and Fractional, Vol 4, Iss 2, p 17 (2020)
In this article, the Lewis model was considered for the soybean drying process by new fractional differential operators to analyze the estimated time in 50 ∘ C , 60 ∘ C , 70 ∘ C , and 80 ∘ C . Moreover, we used dimension parameters for the ph
Externí odkaz:
https://doaj.org/article/faf4383a0654406a9ca492607c1ef59f
Publikováno v:
Fractal and Fractional, Vol 3, Iss 2, p 15 (2019)
In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative and the mo
Externí odkaz:
https://doaj.org/article/05097691575e459e8905ca5124f0d82c
Autor:
Erdal Bas, Ramazan Ozarslan
Publikováno v:
Soft Computing. 25:1535-1541
We study gross domestic product (GDP) model utilizing Atangana–Baleanu, Caputo–Fabrizio and Caputo fractional derivatives under the light of real data of the United Kingdom given by World Bank (World development indicators, 2018) between years 19
Autor:
Ramazan Ozarslan
Publikováno v:
Volume: 7, Issue: 1 1-9
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
In this study, we consider gross domestic product (GDP) model within conformable derivative. In view of real data from the Republic of Korea, the European Union and the United States of America taken from World Bank [20] between 1960-2018 by simulati