Existence and uniqueness of fractional differential equations with integral boundary conditions.
Wang, Taige, Xie, Feng (2008)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order”
Existence and uniqueness of fractional differential equations with integral boundary conditions.
Existence of positive solutions for singular fractional differential equations.
Qiu, Tingting, Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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An equation in the left and right fractional derivatives of the same order
B. Stanković (2008)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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On the Operational Solution of a System of Fractional Differential Equations
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...
Positive solutions for boundary value problem of nonlinear fractional differential equation.
Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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-fractional properties of generalized Janowski functions in the unit disc.
Çag̃lar, Mert, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
Matematichki Vesnik
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Linear Fractional PDE, Uniqueness of Global Solutions
Schäfer, Ingo, Kempfle, Siegmar, Nolte, Bodo (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 47A60, 30C15. In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.
Fractional Calculus of the Generalized Wright Function
Kilbas, Anatoly (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 33C20. The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-Liouville fractional integrals and derivative of the Wright function are also the Wright functions but of greater order. Special cases are considered. * The present...
Existence Results for Fractional Functional Differential Inclusions with Infinite Delay and Applications to Control Theory
Benchohra, M., Henderson, J., Ntouyas, S. K., Ouahab, A. (2008)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05 In this paper we investigate the existence of solutions for fractional functional differential inclusions with infinite delay. In the last section we present an application of our main results in control theory.
Fractional calculus and some properties of Sălăgean-type -starlike functions with negative coefficients.
Güney, H.Özlem (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Inclusion Properties for Certain Classes of Analytic Functions Involving a Family of Fractional Integral Operators
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.