Displaying similar documents to “Characterization properties for starlikeness and convexity of some subclasses of analytic functions involving a class of fractional derivative operators.”

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...

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.

On Janowski starlike functions.

Çaglãr, M., Polatoglũ, Y., Şen, A., Yavuz, E., Owa, S. (2007)

Journal of Inequalities and Applications [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.

Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

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.