Zobrazeno 1 - 10 of 15 pro vyhledávání: '"İ. Onur Kıymaz"'
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Akademický článek
A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
Autor: Ayşegül Çetinkaya, İ. Onur Kıymaz, Praveen Agarwal, Ravi Agarwal
Publikováno v: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-11 (2018)
Abstract In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters. We also define new generalizations o
Externí odkaz: https://doaj.org/article/2e12a31804774ec1803cb443d3b55800
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2
A generalization of truncated M-fractional derivative and applications to fractional differential equations
Autor: Esin Ilhan, I. Onur Kıymaz
Publikováno v: Applied Mathematics and Nonlinear Sciences. 5:171-188
In this paper, our aim is to generalize the truncated M-fractional derivative which was recently introduced [Sousa and de Oliveira, A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties, Inte
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6f5069331e0fc12590a902535ce8c39d
https://doi.org/10.2478/amns.2020.1.00016
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3
Akademický článek
Modified special functions: properties, integral transforms and applications to fractional differential equations
Autor: Enes Ata, I. Onur Kiymaz
Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
In this paper, we defined the modified gamma and beta functions, which involving the generalized M-series at their kernels, and then defined the modified Gauss and confluent hypergeometric functions by using the modified beta function. Furthermore, w
Externí odkaz: https://doaj.org/article/b1a0e61a97794dcf9dbbd38c1adde70b
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4
S-generalized Mittag-Leffler Function and its Certain Properties
Autor: Shilpi Jain, I. Onur Kıymaz, Praveen Agarwal, Ayşegül Çetinkaya
Publikováno v: Volume: 7, Issue: 2 139-148
Mathematical Sciences and Applications E-Notes
In 2014, S-generalized beta function which consist ofseven parameters, defined and studied by Srivastava et al. [H. M.Srivastava, P. Agarwal and S. Jain, Generating functions for thegeneralized Gauss hypergeometric functions, Appl. Math. Comput., 247
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22e1d8ede6dabcd37254bf6de7f5bf5c
https://dergipark.org.tr/tr/pub/mathenot/issue/49271/578638
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6
A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
Autor: I. Onur Kıymaz, Ayşegül Çetinkaya, Praveen Agarwal, Ravi P. Agarwal
Publikováno v: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-11 (2018)
In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters. We also define new generalizations of the Gau
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04d8ca5983f3448d697f2fa7ef9002c5
https://doi.org/10.1186/s13662-018-1612-0
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7
Some Composition Formulae for the M-S-M Fractional Integral Operator with the Multi-index Mittag-Leffler Functions
Autor: I. Onur Kıymaz, Ayá¹£egül ćetinkaya, Praveen Agarwal, Shilpi Jain
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-17, 2017 -- Budapest, HUNGARY WOS: 000431625500020 Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ec752e68350b9999e5e22d0bbade861
https://hdl.handle.net/20.500.12513/2891
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8
A certain generalized Pochhammer symbol and its applications to hypergeometric functions
Autor: I. Onur Kıymaz, Hari M. Srivastava, Ayşegül Çetinkaya
WOS: 000331496200043 In this article, we first introduce an interesting new generalization of the familiar Pochhammer symbol by means of a certain one-parameter family of generalized gamma functions. With the help of this new generalized Pochhammer s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::211f5c9229001534827df80f0893239b
https://hdl.handle.net/20.500.12513/2779
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9
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10
The solutions of fractional PDE's with alternative variational iteration method
Autor: Çetinkaya, A., İ. Onur Kıymaz, Çamh, J.
Publikováno v: Scopus-Elsevier
In [Z. Odibat, A study on the convergence of variational iteration method, Math, and Comput. Model, 51, No-s: 9-10 (2010), 1181-1192], Odibat proposed an alternative approach of variational iteration method (VIM). In this paper, we applied alternativ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::04f6ffec95d0f287e80e42794f209b9a
http://www.scopus.com/inward/record.url?eid=2-s2.0-78751667536&partnerID=MN8TOARS
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