EPJ Special Topics (EPJ ST)

Open Access

Editorial

Fractional Dynamical Systems: Recent Trends in Theory and Applications

Ivanka Stamova, Jehad Alzabut and Gani Stamov

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-0079s-3

Regular Article

Fractional proportional differences with memory

Thabet Abdeljawad, Fahd Jarad and Jehad Alzabut

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00053-5

Regular Article

Lyapunov-type inequalities for fractional difference operators with discrete Mittag-Leffler kernel of order 2 < α < 5/2

Thabet Abdeljawad and Fadila Madjidi

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00004-2

Regular Article

On multi-term fractional differential equations with multi-point boundary conditions

Bashir Ahmad, Najla Alghamdi, Ahmed Alsaedi and Sotiris K. Ntouyas

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00009-3

Regular Article

Properties of solution sets for Sobolev type fractional differential inclusions via resolvent family of operators

Yong-Kui Chang and Rodrigo Ponce

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00015-y

Regular Article

Existence results of fractional differential equations with Riesz–Caputo derivative

Fulai Chen, Dumitru Baleanu and Guo-Cheng Wu

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00030-6

Regular Article

Comments on the properties of Mittag-Leffler function

G. Dattoli, K. Gorska, A. Horzela, S. Licciardi and R.M. Pidatella

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00073-1

Regular Article

Extremal points for fractional boundary value problems

Johnny Henderson, Charles Nelms Jr., Dingjiang Wang and Aijun Yang

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00006-0

Regular Article

Generalized fractional derivatives generated by a class of local proportional derivatives

Fahd Jarad, Thabet Abdeljawad and Jehad Alzabut

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00021-7

Regular Article

On fractional systems with Riemann-Liouville derivatives and distributed delays – Choice of initial conditions, existence and uniqueness of the solutions

Hristo Kiskinov and Andrey Zahariev

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00077-9

Regular Article

Generalized fractional operators on time scales with application to dynamic equations

Kheira Mekhalfi and Delfim F.M. Torres

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00036-0

Regular Article

Variation of constant formula for the solution of interval differential equations of non-integer order

S. Salahshour, A. Ahmadian and D. Baleanu

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00064-2

Regular Article

Nonexistence of global solutions for a class of sequential fractional differential inequalities

Bessem Samet

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-71007-2

Regular Article

Random solutions to a system of fractional differential equations via the Hadamard fractional derivative

Mostefa Seghier, Abdelghani Ouahab and Johnny Henderson

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00029-y

Regular Article

Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions

Dapeng Xie, Chuanzhi Bai, Hui Zhou and Yang Liu

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00041-3

Regular Article

A new fractional derivative involving the normalized sinc function without singular kernel

Xiao-Jun Yang, Feng Gao, J.A. Tenreiro Machado and Dumitru Baleanu

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00020-2

Regular Article

On fractional Langevin differential equations with anti-periodic boundary conditions

Hui Zhou, Jehad Alzabut and Liu Yang

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00082-0

Regular Article

Impulsive control functional differential systems of fractional order: stability with respect to manifolds

Martin Bohner, Ivanka Stamova and Gani Stamov

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00076-4

Regular Article

Stability analysis of the set of trajectories for differential equations with fractional dynamics

A.A. Martynyuk, I. Stamova and Yu.A. Martynyuk-Chernienko

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00051-7

Regular Article

Stability and synchronization of fractional-order complex-valued neural networks with time delay: LMI approach

K. Udhayakumar, R. Rakkiyappan and G. Velmurugan

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00066-0

Regular Article

On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations

Said R. Grace and Agacik Zafer

Published online: 05 July 2018

DOI: 10.1140/epjst/e2018-00043-1

Regular Article

Iterated convergence on Banach space valued functions of abstract g-fractional calculus

George A. Anastassiou and Ioannis K. Argyros

Published online: 19 July 2018

DOI: 10.1140/epjst/e2018-00023-5

Regular Article

Approximation approach to periodic BVP for fractional differential systems

Michal Fečkan and Kateryna Marynets

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00017-9

Regular Article

Numerical solution of fractional telegraph differential equations by theta-method

Mahmut Modanli and Ali Akgül

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00088-6

Regular Article

Modelling of fractal flow in dual media with fractional differentiation with power and generalized Mittag-Leffler laws kernels

D.P. Ahokpossi, Abdon Atangana and D.P. Vermeulen

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00002-4

Regular Article

A novel fractional-order chaotic system with specific topology: from proposing to FPGA implementation

Atiyeh Bayani, Mohammad Ali Jafari, Karthikeyan Rajagopal, Haibo Jiang and Sajad Jafari

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00031-y

Regular Article

Fractional-order systems with diverse dynamical behaviour and their switching-parameter hybrid-synchronisation

Manashita Borah and Binoy K. Roy

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00063-9

Regular Article

Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series

Liping Chen, Wei Pan, J.A. Tenreiro Machado, António M. Lopes, Ranchao Wu and Yigang He

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00012-8

Regular Article

Application of time-fractional derivatives with non-singular kernel to the generalized convective flow of Casson fluid in a microchannel with constant walls temperature

Ilyas Khan, Muhammad Saqib and Farhad Ali

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00097-5

Regular Article

Time analysis of forced variable-order fractional Van der Pol oscillator

Behrouz Parsa Moghaddam and José António Tenreiro Machado

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00019-7

Regular Article

A fractional-order impulsive delay model of price fluctuations in commodity markets: almost periodic solutions

Juan J. Nieto, Gani Stamov and Ivanka Stamova

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00033-9

Regular Article

Fractional and non-fractional chaotic amphibian attractors with self-excited and hidden properties: numerical dynamics, circuit realization and FPGA-based application

Karthikeyan Rajagopal, Fahimeh Nazarimehr, Sajad Jafari and Anitha Karthikeyan

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00013-1

Regular Article

Analysis of fractional order inductive transducers

Parthasarathi Veeraian, Uma Gandhi and Umapathy Mangalanathan

Published online: 25 July 2018

DOI: 10.1140/epjst/e2018-00047-9

EPJ

The European Physical Journal Special Topics

Fractional Dynamical Systems - Recent Trends in Theory and Applications

Fractional Dynamical Systems: Recent Trends in Theory and Applications

Fractional proportional differences with memory

Lyapunov-type inequalities for fractional difference operators with discrete Mittag-Leffler kernel of order 2 < α < 5/2

On multi-term fractional differential equations with multi-point boundary conditions

Properties of solution sets for Sobolev type fractional differential inclusions via resolvent family of operators

Existence results of fractional differential equations with Riesz–Caputo derivative

Comments on the properties of Mittag-Leffler function

Extremal points for fractional boundary value problems

Generalized fractional derivatives generated by a class of local proportional derivatives

On fractional systems with Riemann-Liouville derivatives and distributed delays – Choice of initial conditions, existence and uniqueness of the solutions

Generalized fractional operators on time scales with application to dynamic equations

Variation of constant formula for the solution of interval differential equations of non-integer order

Nonexistence of global solutions for a class of sequential fractional differential inequalities

Random solutions to a system of fractional differential equations via the Hadamard fractional derivative

Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions

A new fractional derivative involving the normalized sinc function without singular kernel

On fractional Langevin differential equations with anti-periodic boundary conditions

Impulsive control functional differential systems of fractional order: stability with respect to manifolds

Stability analysis of the set of trajectories for differential equations with fractional dynamics

Stability and synchronization of fractional-order complex-valued neural networks with time delay: LMI approach

On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations

Iterated convergence on Banach space valued functions of abstract g-fractional calculus

Approximation approach to periodic BVP for fractional differential systems

Numerical solution of fractional telegraph differential equations by theta-method

Modelling of fractal flow in dual media with fractional differentiation with power and generalized Mittag-Leffler laws kernels

A novel fractional-order chaotic system with specific topology: from proposing to FPGA implementation

Fractional-order systems with diverse dynamical behaviour and their switching-parameter hybrid-synchronisation

Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series

Application of time-fractional derivatives with non-singular kernel to the generalized convective flow of Casson fluid in a microchannel with constant walls temperature

Time analysis of forced variable-order fractional Van der Pol oscillator

A fractional-order impulsive delay model of price fluctuations in commodity markets: almost periodic solutions

Fractional and non-fractional chaotic amphibian attractors with self-excited and hidden properties: numerical dynamics, circuit realization and FPGA-based application

Analysis of fractional order inductive transducers

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