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Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

Abstract and Applied Analysis, 2013
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
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Stationarity-conservation laws for certain linear fractional differential equations [PDF]

, 2001
Małgorzata Klimek
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A Refinement of Quasilinearization Method for Caputo's Sense Fractional-Order Differential Equations

Abstract and Applied Analysis, 2010
The method of the quasilinearization technique in Caputo's sense fractional-order differential equation is applied to obtain lower and upper sequences in terms of the solutions of linear Caputo's sense fractional-order differential equations.
Coşkun Yakar, Ali Yakar
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Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative [PDF]

, 2002
Hitoshi Hirata, Changxing Miao
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Fractional differential equations driven by Lévy noise [PDF]

, 2003
Vo Anh, R. McVinish
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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations

International Journal of Analysis and Applications, 2019
The idea proposed in this work is to extend the ZZ transform method to resolve the nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method (HPM).
Lakhdar Riabi, Kacem Belghaba, Mountassir Hamdi Cherif, Djelloul Ziane   +3 more
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On semilinear stochastic fractional differential equations of Volterra type [PDF]

, 2003
Vo Anh, Nikolai Leonenko, R. McVinish
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The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

Frontiers in Physics
The symmetry features of fractional differential equations allow effective explanation of physical and biological phenomena in nature. The generalized form of the fractional differential equations is the variable-order fractional differential equations ...
Mashael M. ALBaidani, Umair Ali, Abdul Hamid Ganie   +2 more
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Some Volterra-Type Fractional Integro-Differential Equations with a Multivariable Confluent Hypergeometric Function as Their Kernel [PDF]

, 2005
H. M. Srivastava, R. K. Saxena
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Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
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