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ORCIDApplied Mathematics and Computation, Volume 257
Volume 257, April 2015
- Yong Zhou:
Recent advances in fractional differential equations. 1 - Dominik Sierociuk
, Tomas Skovranek, Michal Macias, Igor Podlubny, Ivo Petrás, Andrzej Dzielinski, Pawel Ziubinski:
Diffusion process modeling by using fractional-order models. 2-11 - Vasily E. Tarasov:
Lattice fractional calculus. 12-33 - J. A. Tenreiro Machado:
Generalized convolution. 34-39 - Mohammed Abdalla Al-Refai, Yuri Luchko:
Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives. 40-51 - Libo Feng, Pinghui Zhuang, Fawang Liu, Ian W. Turner:
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. 52-65 - Krishnan Balachandran, V. Govindaraj, Margarita Rivero, Juan J. Trujillo:
Controllability of fractional damped dynamical systems. 66-73 - Ricardo Almeida, Delfim F. M. Torres:
Computing Hadamard type operators of variable fractional order. 74-88 - Marius-F. Danca, Roberto Garrappa:
Suppressing chaos in discontinuous systems of fractional order by active control. 89-102 - JinRong Wang, Ahmed Gamal Ibrahim, Michal Feckan:
Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces. 103-118 - Ahmad El-Ajou, Omar Abu Arqub, Shaher Momani, Dumitru Baleanu, Ahmed Alsaedi:
A novel expansion iterative method for solving linear partial differential equations of fractional order. 119-133 - Gisèle M. Mophou, S. Tao, C. Joseph:
Initial value/boundary value problem for composite fractional relaxation equation. 134-144 - Lu Zhang, Yong Zhou:
Fractional Cauchy problems with almost sectorial operators. 145-157 - Yong-Kui Chang, Mei-Juan Zhang, Rodrigo Ponce:
Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term. 158-168 - Rabha W. Ibrahim, Jay M. Jahangiri:
Existence and uniqueness of an attractive nonlinear diffusion system. 169-177 - Zhenhai Liu, Biao Zeng:
Existence and controllability for fractional evolution inclusions of Clarke's subdifferential type. 178-189 - Saïd Abbas, Mouffak Benchohra:
Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses. 190-198 - Bashir Ahmad, M. S. Alhothuali, Hamed H. Alsulami, Mokhtar Kirane, S. Timoshin:
On a time fractional reaction diffusion equation. 199-204 - Ravi P. Agarwal, Dumitru Baleanu, Vahid Hedayati, Shahram Rezapour:
Two fractional derivative inclusion problems via integral boundary condition. 205-212 - Xueke Pu:
Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnet. 213-229 - Josef Diblík, Michal Feckan, Martin Pospísil:
Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations. 230-240 - Dongling Wang, Aiguo Xiao, Wei Yang:
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. 241-251 - Xinguang Zhang, Lishan Liu, Yonghong Wu, Benchawan Wiwatanapataphee:
The spectral analysis for a singular fractional differential equation with a signed measure. 252-263 - Kaiying Deng, Minghua Chen, Tieli Sun:
A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations. 264-273 - Liping Chen, Ranchao Wu, Yigang He, Lisheng Yin:
Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties. 274-284 - Rong-Nian Wang, Qing-Hua Ma:
Some new results for multi-valued fractional evolution equations. 285-294 - Xian-Feng Zhou, Fuli Yang, Wei Jiang:
Analytic study on linear neutral fractional differential equations. 295-307 - Fudong Ge, Chunhai Kou:
Stability analysis by Krasnoselskii's fixed point theorem for nonlinear fractional differential equations. 308-316 - Ali Pirkhedri, Hamid Haj Seyyed Javadi:
Solving the time-fractional diffusion equation via Sinc-Haar collocation method. 317-326 - Yuriy Povstenko:
Time-fractional thermoelasticity problem for a sphere subjected to the heat flux. 327-334 - Stanislav Yu. Lukashchuk, A. V. Makunin:
Group classification of nonlinear time-fractional diffusion equation with a source term. 335-343 - Haibo Gu, Juan J. Trujillo:
Existence of mild solution for evolution equation with Hilfer fractional derivative. 344-354 - Weiping Bu, Yifa Tang, Yingchuan Wu, Jiye Yang:
Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh-Nagumo monodomain model. 355-364 - Monika Zecová, Ján Terpák:
Heat conduction modeling by using fractional-order derivatives. 365-373 - Kambiz Razminia, Abolhassan Razminia, Delfim F. M. Torres:
Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure. 374-380 - Zhiyuan Li, Yikan Liu, Masahiro Yamamoto:
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. 381-397 - Zeng Lin, JinRong Wang, Wei Wei:
Fractional differential equation models with pulses and criterion for pest management. 398-408 - Tian-Xiang Gou, Hong-Rui Sun:
Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition. 409-416 - Yulin Zhao, Haibo Chen, Bin Qin:
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. 417-427 - Tomasz Blaszczyk, Mariusz Ciesielski:
Fractional oscillator equation - Transformation into integral equation and numerical solution. 428-435 - Qinghua Ma, Rongnian Wang, Junwei Wang, Yicheng Ma:
Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative. 436-445 - Wei Li, Can Li:
Second-order explicit difference schemes for the space fractional advection diffusion equation. 446-457 - Li Peng, Yong Zhou:
Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations. 458-466 - Xiuling Hu, Hong-Lin Liao, Fawang Liu, Ian W. Turner:
A center Box method for radially symmetric solution of fractional subdiffusion equation. 467-486 - Yuliya Mishura, Taras Shalaiko, Georgiy Shevchenko:
Convergence of solutions of mixed stochastic delay differential equations with applications. 487-497 - Yury A. Rossikhin, Marina V. Shitikova:
Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance. 498-525 - Zhenlai Han, Hongling Lu, Chao Zhang:
Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian. 526-536 - Dali Chen, Yangquan Chen, Dingyu Xue:
Fractional-order total variation image denoising based on proximity algorithm. 537-545 - Li Yan, Jiang Wei:
Fractional order nonlinear systems with delay in iterative learning control. 546-552 - Yanmin Zhao, Weiping Bu, Jianfei Huang, Da-Yan Liu, Yifa Tang:
Finite element method for two-dimensional space-fractional advection-dispersion equations. 553-565 - Udita N. Katugampola:
Mellin transforms of generalized fractional integrals and derivatives. 566-580 - Tian Liang Guo, KanJian Zhang:
Impulsive fractional partial differential equations. 581-590 - Shanzhen Chen, Fawang Liu, X. Jiang, Ian W. Turner, Vo Anh:
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. 591-601
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