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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Kim, Yong Chan, Choi, Jae Ho, Lee, Jin Seop (1998)
International Journal of Mathematics and Mathematical Sciences
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Bhatt, S., Raina, R.K. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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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...
H. M. Srivastava, S. Owa (1986)
Matematički Vesnik
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Lee, Sang Keun, Owa, Shigeyoshi, Sekine, Tadayuki, Obradović, Milutin (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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R.K. Raina, Mamta Bolia (1998)
Annales mathématiques Blaise Pascal
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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.
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
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Çaglãr, M., Polatoglũ, Y., Şen, A., Yavuz, E., Owa, S. (2007)
Journal of Inequalities and Applications [electronic only]
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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.
Raina, R.K. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Erhan Set, Abdurrahman Gözpinar (2016)
Topological Algebra and its Applications
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In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.