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Advanced Theoretical and Applied Studies of Fractional Differential Equations
Guest Editors: Dumitru Baleanu, Juan J. Trujillo, and Bashir Ahmad- Advanced Theoretical and Applied Studies of Fractional Differential Equations, Dumitru Baleanu, Juan J. Trujillo, and Bashir Ahmad
Volume 2013 (2013), Article ID 195429, 1 page - The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications, Fuquan Jiang, Xiaojie Xu, and Zhongwei Cao
Volume 2013 (2013), Article ID 531038, 12 pages - On the Laws of Total Local Times for -Paths and Bridges of Symmetric Lévy Processes, Masafumi Hayashi and Kouji Yano
Volume 2013 (2013), Article ID 463857, 12 pages - Fractional Difference Equations with Real Variable, Jin-Fa Cheng and Yu-Ming Chu
Volume 2012 (2012), Article ID 918529, 24 pages - An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems, Mohammad Maleki, Ishak Hashim, Majid Tavassoli Kajani, and Saeid Abbasbandy
Volume 2012 (2012), Article ID 381708, 19 pages - Numerical Solutions to Fractional Perturbed Volterra Equations, B. Bandrowski, A. Karczewska, and P. Rozmej
Volume 2012 (2012), Article ID 529602, 19 pages - Robust Position Control of PMSM Using Fractional-Order Sliding Mode Controller, Jiacai Huang, Hongsheng Li, YangQuan Chen, and Qinghong Xu
Volume 2012 (2012), Article ID 512703, 33 pages - On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces, Marko Kostić, Cheng-Gang Li, and Miao Li
Volume 2012 (2012), Article ID 131652, 41 pages - Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup, He Yang
Volume 2012 (2012), Article ID 903518, 15 pages - A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes, Ibrahim Karatay and Serife R. Bayramoglu
Volume 2012 (2012), Article ID 548292, 11 pages - Alternative Forms of Compound Fractional Poisson Processes, Luisa Beghin and Claudio Macci
Volume 2012 (2012), Article ID 747503, 30 pages - Dynamic Properties of a Forest Fire Model, Na Min, Hongyang Zhang, and Zhilin Qu
Volume 2012 (2012), Article ID 948480, 13 pages - On the Definitions of Nabla Fractional Operators, Thabet Abdeljawad and Ferhan M. Atici
Volume 2012 (2012), Article ID 406757, 13 pages - Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order, Asma Ali Elbeleze, Adem Kiliçman, and Bachok M. Taib
Volume 2012 (2012), Article ID 763139, 14 pages - Shannon Information and Power Law Analysis of the Chromosome Code, J. A. Tenreiro Machado
Volume 2012 (2012), Article ID 439089, 13 pages - Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems, Hongjie Li
Volume 2012 (2012), Article ID 672346, 18 pages - Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals, Jiqiang Jiang, Lishan Liu, and Yonghong Wu
Volume 2012 (2012), Article ID 708192, 21 pages - A Weighted Variant of Riemann-Liouville Fractional Integrals on
, Zun Wei Fu, Shan Zhen Lu, and Wen Yuan
Volume 2012 (2012), Article ID 780132, 18 pages - Existence of Three Solutions for a Nonlinear Fractional Boundary
Value Problem via a Critical Points Theorem, Chuanzhi Bai
Volume 2012 (2012), Article ID 963105, 13 pages - Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term, Y. J. Choi and S. K. Chung
Volume 2012 (2012), Article ID 596184, 25 pages - Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables, A. M. A. El-Sayed, E. Ahmed, and H. A. A. El-Saka
Volume 2012 (2012), Article ID 251715, 12 pages - A Note on Impulsive Fractional Evolution Equations with Nondense Domain, Zufeng Zhang and Bin Liu
Volume 2012 (2012), Article ID 359452, 13 pages - Existence and Uniqueness of Positive Solutions for a Singular Fractional Three-Point Boundary Value Problem, I. J. Cabrera, J. Harjani, and K. B. Sadarangani
Volume 2012 (2012), Article ID 803417, 18 pages - On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations, Ahmed Alsaedi, Bashir Ahmad, and Afrah Assolami
Volume 2012 (2012), Article ID 325984, 15 pages - Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity, Yongqing Wang, Lishan Liu, and Yonghong Wu
Volume 2012 (2012), Article ID 214042, 17 pages - Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions, Hassen Aydi, Erdal Karapınar, and İnci M. Erhan
Volume 2012 (2012), Article ID 781563, 22 pages - The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities, Weihua Jiang, Jiqing Qiu, and Weiwei Guo
Volume 2012 (2012), Article ID 180672, 13 pages - Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations, Qiuping Li, Shurong Sun, Ping Zhao, and Zhenlai Han
Volume 2012 (2012), Article ID 615230, 14 pages - A New Fractional Integral Inequality with Singularity and Its Application, Qiong-Xiang Kong and Xiao-Li Ding
Volume 2012 (2012), Article ID 937908, 12 pages - A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane, Miguel F. M. Lima, J. A. Tenreiro Machado, and António C. Costa
Volume 2012 (2012), Article ID 436108, 14 pages - Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations, Azizollah Babakhani and Dumitru Baleanu
Volume 2012 (2012), Article ID 632681, 14 pages - Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations, D. Baleanu, H. Mohammadi, and Sh. Rezapour
Volume 2012 (2012), Article ID 837437, 7 pages - A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain, Guotao Wang, Bashir Ahmad, and Lihong Zhang
Volume 2012 (2012), Article ID 248709, 11 pages - On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative, M. D. Qassim, K. M. Furati, and N.-E. Tatar
Volume 2012 (2012), Article ID 391062, 17 pages - The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods, Abdelouahab Kadem and Adem Kilicman
Volume 2012 (2012), Article ID 486193, 10 pages - A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations, Thabet Abdeljawad, Betül Benli, and Dumitru Baleanu
Volume 2012 (2012), Article ID 546062, 11 pages