Characterization properties for starlike and convex functions involving a class of fractional integral operators
R. K. Raina, Mamta Bolia (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives”
Characterization properties for starlike and convex functions involving a class of fractional integral operators
Distortion theorems for fractional calculus of certain analytic functions with negative coefficients.
Lee, Sang Keun, Owa, Shigeyoshi, Sekine, Tadayuki, Obradović, Milutin (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Kim, Yong Chan, Choi, Jae Ho, Lee, Jin Seop (1998)
International Journal of Mathematics and Mathematical Sciences
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Third-order differential subordination and superordination involving a fractional operator
Rabha W. Ibrahim, Muhammad Zaini Ahmad, Hiba F. Al-Janaby (2015)
Open Mathematics
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The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property employs the subordination and superordination methodology. Some classes of admissible functions are determined, and these significant classes...
A new class of analytic functions involving certain fractional derivative operators.
Bhatt, S., Raina, R.K. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Characterization properties for starlikeness and convexity of some subclasses of analytic functions involving a class of fractional derivative operators.
Raina, R.K., Nahar, T.S. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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On a Differential Equation with Left and Right Fractional Derivatives
Atanackovic, Teodor, Stankovic, Bogoljub (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05 We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations...
Discrete fractional calculus with the nabla operator.
Atici, F.M., Eloe, P. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On a new Subclass of Analytic P-valent Functions
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
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On subordination for classes of non-Bazilevič type
Rabha Ibrahim, Maslina Darus, Nikola Tuneski (2010)
Annales UMCS, Mathematica
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We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.
Some results associated with fractional calculus operators involving Appell hypergeometric function.
Raina, R.K. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Some fractional integral formulas for the Mittag-Leffler type function with four parameters
Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.