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Journal Articles
On Local Fractional Continuous Wavelet Transform
By: Srivástava, Hari Mohan; Tenreiro Machado, José António; Cattani, Carlo…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Restoration of Natural Frequency of Cracked Cantilever Beam Using CNT Composite Patch: A Finite Element Study
By: Nahas, Mahmoud Nadim; Baleanu, Dumitru; Alzahrani, Mahmoud Ali. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
On Solutions of Linear Fractional Differential Equations with Uncertainty
By: Allahviranloo, Tofigh; Abbasbandy, Saeid; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-13, 13 p.
Journal Articles
The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems
By: Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Trujillo, Juan J.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-15, 15 p.
Journal Articles
Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm
By: Chen, Dali; Chen, YangQuan; Xue, Dingyu…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
A New Numerical Algorithm for Solving a Class of Fractional Advection-Dispersion Equation with Variable Coefficients Using Jacobi Polynomials
By: Bhrawy, Ali H.; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-9, 9 p.
Journal Articles
Maxwell’s Equations on Cantor Sets : A Local Fractional Approach
By: Cattani, Carlo; Cheng, De-Fu; Xie, Gong-Nan…[et al.]. Advances in High Energy Physics. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions
By: Li, Fang; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional q-Difference Equations
By: Yu, Changlong; Wang, Jufang; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-9, 9 p.
Journal Articles
Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces
By: Kerboua, Mourad; Debbouche, Amar; Ahmad, Bashir…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation
By: Tharwat, M. M.; al-Harbi, S. M.; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-14, 14 p.
Journal Articles
Approximate Solutions of Fisher's Type Equations with Variable Coefficients
By: Bhrawy, Ali H.; Alghamdi, Mohammad Ali; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
Study of Intelligent Photovoltaic System Fault Diagnostic Scheme Based on Chaotic Signal Synchronization
By: Hsieh, Chin-Tsung; Baleanu, Dumitru; Shiu, Jen. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
By: Ahmad, Bashir; Ntouyas, Sotiris. K.; Alsulami, Hamed H.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-12, 12 p.
Journal Articles
A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations
By: Doha, E. H.; Bhrawy, Ali H.; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-12, 12 p.
Journal Articles
Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators
By: Zhao, Yang; Cheng, De-Fu; Yang, Xiao-Jun…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions
By: Alsaedi, Ahmed; Ahmad, Bashir; al-Hutami, Hana…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
A Spectral Deferred Correction Method for Fractional Differential Equations
By: Xin, Jia; Huang, Jianfei; Zhu, Jiang…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method
By: Bhrawy, Ali H.; Alghamdi, Mohammad Ali; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-9, 9 p.
Journal Articles
On Classification of PDZ Domains: A Computational Study
By: Aftab, Wasim; Tenreiro Machado, José António; Baleanu, Dumitru…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-9, 9 p.
Journal Articles
Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes
By: Rusagara, Innocent; Baleanu, Dumitru; Salahshour, Soheil. Abstract and Applied Analysis. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
Vibration Suppression of an Axially Moving String with Transverse Wind Loadings by a Nonlinear Energy Sink
By: Zhang, Ye-Wei; Zang, Jian; Baleanu, Dumitru…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay
By: Karami, Hadi; Babakhani, Azizollah; Bhrawy, Ali H.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
By: Zhao, Yang; Cheng, De-Fu; Yang, Xiao-Jun…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems
By: Darzi, R.; Mohammadzadeh, B.; Neamaty, A.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems
By: Bhrawy, Ali H.; Alghamdi, Mohammad Ali; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line
By: Bhrawy, Ali H.; Taha, T. M.; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-12, 12 p.
Journal Articles
An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function
By: Hanneken, John W.; Achar, B. N. Narahari; Vaught, David M.…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-13, 13 p.
Journal Articles
Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations
By: Ünlü, C.; Jafari, Hossein; Trujillo, Juan J.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
Synchronization Analysis of Four Symbolic Complex Dynamical Systems for Future Biology Research
By: Zhang, Yagang; Zhao, Zheng; Baleanu, Dumitru…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
Time Fractional Schrodinger Equation Revisited
By: Achar, B. N. Narahari; Yale, Bradley T.; Hanneken, John W.…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-11, 11 p.
Journal Articles
Swarm Stability Analysis of High-Order Linear Time-Invariant Singular Multiagent Systems
By: Fu, Mingyu; Baleanu, Dumitru; Cong, Yirui…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-11, 11 p.
Journal Articles
A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations
By: Srivástava, Hari Mohan; Tenreiro Machado, José António; Yang, Xiao-Jun…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
An Interior Inverse Problem for the Diffusion Operator
By: Dabbaghian, A.; Jafari, Hossein; Yosofi, N.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain
By: Wang, Guotao; Agarwal, Ravi P.; Shammakh, Wafa M.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method
By: Yang, Yong-Ju; Yang, Xiao-Jun; Srivástava, Hari Mohan…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Experimental Characterization of Ionic Polymer Metal Composite as a Novel Fractional Order Element
By: Caponetto, Riccardo; Graziani, Salvatore; Pappalardo, Fulvio L.…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
Multidimensional Scaling for Orthodontic Root Resorption
By: Tenreiro Machado, José António; Baleanu, Mihaela Cristina; Ahmad, Bashir…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-6, 6 p.
Journal Articles
Positive Solutions to Fractional Boundary Value Problems with Nonlinear Boundary Conditions
By: Nyamoradi, Nemat; Bashiri, Tahereh; Trujillo, Juan J.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-20, 20 p.
Journal Articles
The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative
By: Alipour, Mohsen; Jafari, Hossein; Bhrawy, Ali H.…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
Root Locus Practical Sketching Rules for Fractional-Order Systems
By: Lopes, António M.; Tenreiro Machado, José António; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-14, 14 p.
Journal Articles
Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation
By: Tenreiro Machado, José António; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-7, 7 p.
Journal Articles
Systems of Navier-Stokes Equations on Cantor Sets
By: Yang, Xiao-Jun; Tenreiro Machado, José António; Ahmad, Bashir…[et al.]. Mathematical Problems in Engineering. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations
By: Ahmadian, Ali; Suleiman, Mohamed bin; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-29, 29 p.
Journal Articles
Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems
By: Bhrawy, Ali H.; Taha, T. M.; Salahshour, Soheil…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-10, 10 p.
Journal Articles
Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets
By: Yang, Ai-Ming; Yang, Xiao-Jun; Li, Zheng-Biao…[et al.]. Abstract and Applied Analysis. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space
By: Bragdi, Mabrouk; Debbouche, Amar; Li, Changpin…[et al.]. Advances in Mathematical Physics. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Fractional Coins and Fractional Derivatives
By: Tenreiro Machado, José António; Baleanu, Dumitru. Abstract and Applied Analysis. No. 2013 (2013), pp.1-5, 5 p.
Journal Articles
Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform
By: Rusagara, Innocent; Baleanu, Dumitru; Salahshour, Soheil. Abstract and Applied Analysis. No. 2013 (2013), pp.1-8, 8 p.
Journal Articles
A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations
By: Kiliç, Bülent; Bulut, Hasan; Baleanu, Dumitru. Advances in Mathematical Physics. No. 2013 (2013), pp.1-11, 11 p.
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