On a new Subclass of Analytic P-valent Functions
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
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Displaying similar documents to “Distortion theorems for fractional calculus of certain analytic functions with negative coefficients.”
On a new Subclass of Analytic P-valent Functions
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...
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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On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
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On a sum of fractional parts
B. Martić (1964)
Matematički Vesnik
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
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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.
New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
R.K. Raina, Mamta Bolia (1998)
Annales mathématiques Blaise Pascal
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Theorems on some families of fractional differential equations and their applications
Gülçin Bozkurt, Durmuş Albayrak, Neşe Dernek (2019)
Applications of Mathematics
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We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for...