An approximation to solution of space and time fractional telegraph equations by He's variational iteration method.
Sevimlican, Ali (2010)
Mathematical Problems in Engineering
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Displaying similar documents to “Application of variational iteration method to fractional hyperbolic partial differential equations.”
An approximation to solution of space and time fractional telegraph equations by He's variational iteration method.
He's variational iteration method for solving fractional Riccati differential equation.
Jafari, H., Tajadodi, H. (2010)
International Journal of Differential Equations
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Modified step variational iteration method for solving fractional biochemical reaction model.
Molliq, R.Yulita, Noorani, M.S.M., Ahmad, R.R., Alomari, A.K. (2011)
International Journal of Differential Equations
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Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
Shateri, Majid, Ganji, D.D. (2010)
International Journal of Differential Equations
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An effective method for solving fractional integro-differential equations.
Wang, Wen--Hua (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Application of He's variational iteration method to solve semidifferential equations of th order.
Ghorbani, Asghar, Alavi, Abdolsaeed (2008)
Mathematical Problems in Engineering
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The foam drainage equation with time and space-fractional derivatives solved by the adomian method.
Dahmani, Z., Mesmoudi, M.M., Bebbouchi, R. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Hamilton’s Principle with Variable Order Fractional Derivatives
Atanackovic, Teodor, Pilipovic, Stevan (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined...
Fractional-order variational calculus with generalized boundary conditions.
Herzallah, Mohamed A.E., Baleanu, Dumitru (2011)
Advances in Difference Equations [electronic only]
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Calculus of Variations with Classical and Fractional Derivatives
Odzijewicz, Tatiana, Torres, Delfim F. M. (2012)
Mathematica Balkanica New Series
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MSC 2010: 49K05, 26A33 We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the calculus of variations with mixed integer and fractional order derivatives as well as isoperimetric problems are considered.
An effective numerical method and its utilization to solution of fractional models used in bioengineering applications.
Petráš, Ivo (2011)
Advances in Difference Equations [electronic only]
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Fractional iteration of differentiable functions
M. Kuczma (1969)
Annales Polonici Mathematici
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A uniqueness criterion for fractional iteration
B. A. Reznick (1974)
Annales Polonici Mathematici
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On a Differential Equation with Left and Right Fractional Derivatives
Atanackovic, Teodor, Stankovic, Bogoljub (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05 We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations...