Extension of the Fractional Derivative Operator of the Riemann-Liouville

Agarwal, PraveenParmar, Rakesh K.Alqurashi, Maysaa M.Salahshour, SoheilBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2019-12-182025-09-182019-12-182025-09-182017Baleanu, Dumitru...et al. (2017). Extension of the fractional derivative operator of the Riemann-Liouville, Journal of Nonlinear Sciences And Applications, 10(6), 2914-2924.2008-18982008-1901https://doi.org/10.22436/jnsa.010.06.06https://hdl.handle.net/123456789/10495Salahshour, Soheil/0000-0003-1390-3551; Agarwal, Praveen/0000-0001-7556-8942By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions. (C) 2017 All rights reserved.eninfo:eu-repo/semantics/openAccessGenerating FunctionsHypergeometric Function Of Two And Three VariablesFractional Derivative OperatorMellin TransformExtension of the Fractional Derivative Operator of the Riemann-LiouvilleExtension of the fractional derivative operator of the Riemann-LiouvilleArticle10.22436/jnsa.010.06.06