Numerical comparison of methods for solving linear differential equations of fractional order

Keywords

Adomian decomposition method, Mathematics, Convergent series, Decomposition method (queueing theory), Applied mathematics

References

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• A note on the fractional-order Chen systemJun Lu, Guanrong Chen — 2006
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• An iteration formulation for normalized diode characteristicsJi‐Huan He, Yu‐Qin Wan, Qian Guo — 2004
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• Membrane Capacitive Memory Alters Spiking in Neurons Described by the Fractional-Order Hodgkin-Huxley ModelSeth H. Weinberg — 2015
• Analysis of A Fractional-Order Competition Model with Common Inhibitory EffectSwarnali Sharma, G. P. Samanta — 2013
• On the application of partial differential equations and fractional partial differential equations to images and their methods of solutionByron A. Jacobs — 2014
• A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equationsShahzad Sarwar, Salem Alkhalaf, S. Iqbal — 2015
• Matrix method based on the second kind Chebyshev polynomials for solving time fractional diffusion-wave equationsSomayeh Nemati, S. Sedaghat — 2016
• Analytical solutions for the fractional Fisher's equationHossein Kheiri, Aida Mojaver, Samane Shahi — 2015
• New approach to synchronization of two different fractional-order chaotic systemsReza Behinfaraz, Mohammad Ali Badamchizadeh — 2015
• Solving nonlinear fractional differential equation using a multi-step Laplace Adomian decomposition methodMohammad Al-Zurigat — 2012
• Synchronization of different fractional-ordered chaotic systems using optimized active controlReza Behinfaraz, Mohammad Ali Badamchizadeh — 2015
• Homotopy analysis method for systems of fractional integro-differential equationsMohammad Zurigat, Shaher Momani, Ahmad Alawneh — 2009
• An Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series SchemeRadwan Abu-Gdairi, Mohammed Al‐Smadi, Ghaleb Gumah — 2015
• On a Numerical Approach to Solve Multi-Order Fractional Differential Equations With Initial/Boundary ConditionsM. A. Firoozjaee, S. A. Yousefi, Hossein Jafari — 2015
• Chaotic systems via multi-step differential transformation methodAhmet Yıldırım, Ahmet Gökdoğan, Mehmet Merdan — 2012
• Modelling and measuring of viscoelastic material behaviour under cyclic loadsAttila Pálfalvi — 2010
• A New Grünwald-Letnikov Derivative Derived from a Second-Order SchemeByron A. Jacobs — 2015
• Application of Optimal HAM for Solving the Fractional Order Logistic EquationMohamed S. Mohamed — 2014
• Variational iteration method for twelfth-order boundary-value problemsA.S.V. Ravi Kanth, K. Aruna — 2009
• A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equationsZaid Odibat, Shaher Momani, Hang Xu — 2010
• Computational method for solving space fractional Fisher's nonlinear equationTalaat S. El‐Danaf, Adel R. Hadhoud — 2014
• Variational problems with fractional derivatives: Invariance conditions and N\Teodor M. Atanacković, Sanja Konjik, Stevan Pilipović — 2009

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