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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Displaying similar documents to “Some results associated with fractional calculus operators involving Appell hypergeometric function.”
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
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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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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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.
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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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 a new Subclass of Analytic P-valent Functions
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
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On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
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On a partial Hadamard fractional integral inclusion
Aurelian Cernea (2016)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.
Fractional-order Bessel functions with various applications
Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi (2019)
Applications of Mathematics
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We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations. Our main aim is to consider the new functions based on Bessel polynomials to the fractional calculus. To calculate derivatives and integrals, we use Caputo fractional derivatives and Riemann-Liouville fractional integral definitions. Then, operational matrices of fractional-order derivatives and integration for FBFs are derived. Also, we discuss an error...