Applied Mathematics and Computation

2014 - 2025

Current editor(s): Theodore Simos

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2015, volume 257, articles C

Diffusion process modeling by using fractional-order models pp. 2-11

Dominik Sierociuk, Tomas Skovranek, Michal Macias, Igor Podlubny, Ivo Petras, Andrzej Dzielinski and Pawel Ziubinski

Lattice fractional calculus pp. 12-33

Vasily E. Tarasov

Generalized convolution pp. 34-39

J.A. Tenreiro Machado

Maximum principle for the multi-term time-fractional diffusion equations with the Riemann–Liouville fractional derivatives pp. 40-51

Mohammed Al-Refai and Yuri Luchko

Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation pp. 52-65

L.B. Feng, P. Zhuang, F. Liu and I. Turner

Controllability of fractional damped dynamical systems pp. 66-73

K. Balachandran, V. Govindaraj, M. Rivero and J.J. Trujillo

Computing Hadamard type operators of variable fractional order pp. 74-88

Ricardo Almeida and Delfim F.M. Torres

Suppressing chaos in discontinuous systems of fractional order by active control pp. 89-102

Marius-F. Danca and Roberto Garrappa

Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces pp. 103-118

JinRong Wang, Ahmed Gamal Ibrahim and Michal Fečkan

A novel expansion iterative method for solving linear partial differential equations of fractional order pp. 119-133

Ahmad El-Ajou, Omar Abu Arqub, Shaher Momani, Dumitru Baleanu and Ahmed Alsaedi

Initial value/boundary value problem for composite fractional relaxation equation pp. 134-144

G. Mophou, S. Tao and C. Joseph

Fractional Cauchy problems with almost sectorial operators pp. 145-157

Lu Zhang and Yong Zhou

Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term pp. 158-168

Yong-Kui Chang, Mei-Juan Zhang and Rodrigo Ponce

Existence and uniqueness of an attractive nonlinear diffusion system pp. 169-177

Rabha W. Ibrahim and Jay M. Jahangiri

Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type pp. 178-189

Zhenhai Liu and Biao Zeng

Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses pp. 190-198

Saïd Abbas and Mouffak Benchohra

On a time fractional reaction diffusion equation pp. 199-204

B. Ahmad, M.S. Alhothuali, H.H. Alsulami, M. Kirane and S. Timoshin

Two fractional derivative inclusion problems via integral boundary condition pp. 205-212

Ravi P. Agarwal, Dumitru Baleanu, Vahid Hedayati and Shahram Rezapour

Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnet pp. 213-229

Xueke Pu

Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations pp. 230-240

J. Diblík, M. Fečkan and M. Pospíšil

Maximum-norm error analysis of a difference scheme for the space fractional CNLS pp. 241-251

Dongling Wang, Aiguo Xiao and Wei Yang

The spectral analysis for a singular fractional differential equation with a signed measure pp. 252-263

Xinguang Zhang, Lishan Liu, Yonghong Wu and B. Wiwatanapataphee

A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations pp. 264-273

Kaiying Deng, Minghua Chen and Tieli Sun

Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties pp. 274-284

Liping Chen, Ranchao Wu, Yigang He and Lisheng Yin

Some new results for multi-valued fractional evolution equations pp. 285-294

Rong-Nian Wang and Qing-Hua Ma

Analytic study on linear neutral fractional differential equations pp. 295-307

Xian-Feng Zhou, Fuli Yang and Wei Jiang

Stability analysis by Krasnoselskii’s fixed point theorem for nonlinear fractional differential equations pp. 308-316

Fudong Ge and Chunhai Kou

Solving the time-fractional diffusion equation via Sinc–Haar collocation method pp. 317-326

A. Pirkhedri and H.H.S. Javadi

Time-fractional thermoelasticity problem for a sphere subjected to the heat flux pp. 327-334

Yuriy Povstenko

Group classification of nonlinear time-fractional diffusion equation with a source term pp. 335-343

S.Yu. Lukashchuk and A.V. Makunin

Existence of mild solution for evolution equation with Hilfer fractional derivative pp. 344-354

Haibo Gu and Juan J. Trujillo

Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain model pp. 355-364

Weiping Bu, Yifa Tang, Yingchuan Wu and Jiye Yang

Heat conduction modeling by using fractional-order derivatives pp. 365-373

Monika Žecová and Ján Terpák

Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure pp. 374-380

Kambiz Razminia, Abolhassan Razminia and Delfim F.M. Torres

Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients pp. 381-397

Zhiyuan Li, Yikan Liu and Masahiro Yamamoto

Fractional differential equation models with pulses and criterion for pest management pp. 398-408

Zeng Lin, JinRong Wang and Wei Wei

Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti–Rabinowitz condition pp. 409-416

Tian-Xiang Gou and Hong-Rui Sun

Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods pp. 417-427

Yulin Zhao, Haibo Chen and Bin Qin

Fractional oscillator equation – Transformation into integral equation and numerical solution pp. 428-435

Tomasz Blaszczyk and Mariusz Ciesielski

Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative pp. 436-445

Qinghua Ma, Rongnian Wang, Junwei Wang and Yicheng Ma

Second-order explicit difference schemes for the space fractional advection diffusion equation pp. 446-457

Wei Li and Can Li

Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations pp. 458-466

Li Peng and Yong Zhou

A center Box method for radially symmetric solution of fractional subdiffusion equation pp. 467-486

Xiuling Hu, Hong-Lin Liao, F. Liu and I. Turner

Convergence of solutions of mixed stochastic delay differential equations with applications pp. 487-497

Yuliya Mishura, Taras Shalaiko and Georgiy Shevchenko

Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance pp. 498-525

Yury A. Rossikhin and Marina V. Shitikova

Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian pp. 526-536

Zhenlai Han, Hongling Lu and Chao Zhang

Fractional-order total variation image denoising based on proximity algorithm pp. 537-545

Dali Chen, YangQuan Chen and Dingyu Xue

Fractional order nonlinear systems with delay in iterative learning control pp. 546-552

Li Yan and Jiang Wei

Finite element method for two-dimensional space-fractional advection–dispersion equations pp. 553-565

Yanmin Zhao, Weiping Bu, Jianfei Huang, Da-Yan Liu and Yifa Tang

Mellin transforms of generalized fractional integrals and derivatives pp. 566-580

Udita N. Katugampola

Impulsive fractional partial differential equations pp. 581-590

Tian Liang Guo and KanJian Zhang

A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients pp. 591-601

S. Chen, F. Liu, X. Jiang, I. Turner and V. Anh