Majorization for certain classes of analytic functions.
Goswami, Pranay, Wang, Zhi--Gang (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Goswami, Pranay, Wang, Zhi--Gang (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Mejía, Diego, Pommerenke, Christian (2006)
Revista Colombiana de Matemáticas
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Bai, Zhanbing (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Aldona Dutkiewicz, Stanisław Szufla (2005)
Publications de l'Institut Mathématique
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Çag̃lar, Mert, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
Matematichki Vesnik
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Zhang, Pingping (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Umarov, Sabir, Saydamatov, Erkin (2006)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 35CXX, 26A33, 35S10 The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations. In the paper one of the possible generalizations of the classical Duhamel principle to the time-fractional pseudo-differential equations is established. * This work partially supported by NIH grant P20 GMO67594. ...
Takači, Dj., Takači, A. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 44A45, 44A40, 65J10 We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages...
Atanackovic, T., Stankovic, B. (2004)
Fractional Calculus and Applied Analysis
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An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type. ...
Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Kishore Prajapat, Jugal (2008)
Fractional Calculus and Applied Analysis
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2000 Math. Subject Classification: 30C45 A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk U. For each of these new function classes, several inclusion relationships are established.