1. Fractional Dynamical Systems: Recent Trends in Theory and Applications

   • Ivanka Stamova
   • Jehad Alzabut
   • Gani Stamov

   Editorial 25 July 2018 Pages: 3327 - 3331

2. Fractional proportional differences with memory

   • Thabet Abdeljawad
   • Fahd Jarad
   • Jehad Alzabut

   Regular Article 25 July 2018 Pages: 3333 - 3354

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

   • Thabet Abdeljawad
   • Fadila Madjidi

   Regular Article 25 July 2018 Pages: 3355 - 3368

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

   • Bashir Ahmad
   • Najla Alghamdi
   • Sotiris K. Ntouyas

   Regular Article 25 July 2018 Pages: 3369 - 3390

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

   • Yong-Kui Chang
   • Rodrigo Ponce

   Regular Article 25 July 2018 Pages: 3391 - 3409

6. Existence results of fractional differential equations with Riesz–Caputo derivative

   • Fulai Chen
   • Dumitru Baleanu
   • Guo-Cheng Wu

   Regular Article 25 July 2018 Pages: 3411 - 3425

7. Comments on the properties of Mittag-Leffler function

   • G. Dattoli
   • K. Gorska
   • R. M. Pidatella

   Regular Article 25 July 2018 Pages: 3427 - 3443

8. Extremal points for fractional boundary value problems

   • Johnny Henderson
   • Charles Nelms Jr.
   • Aijun Yang

   Regular Article 25 July 2018 Pages: 3445 - 3456

9. Generalized fractional derivatives generated by a class of local proportional derivatives

   • Fahd Jarad
   • Thabet Abdeljawad
   • Jehad Alzabut

   Regular Article 25 July 2018 Pages: 3457 - 3471

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

    • Hristo Kiskinov
    • Andrey Zahariev

    Regular Article 25 July 2018 Pages: 3473 - 3487

11. Generalized fractional operators on time scales with application to dynamic equations

    • Kheira Mekhalfi
    • Delfim F. M. Torres

    Regular Article 25 July 2018 Pages: 3489 - 3499

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

    • S. Salahshour
    • A. Ahmadian
    • D. Baleanu

    Regular Article 25 July 2018 Pages: 3501 - 3512

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

    • Bessem Samet

    Regular Article 25 July 2018 Pages: 3513 - 3524

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

    • Mostefa Seghier
    • Abdelghani Ouahab
    • Johnny Henderson

    Regular Article 25 July 2018 Pages: 3525 - 3549

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

    • Dapeng Xie
    • Chuanzhi Bai
    • Yang Liu

    Regular Article 25 July 2018 Pages: 3551 - 3566

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

    • Xiao-Jun Yang
    • Feng Gao
    • Dumitru Baleanu

    Regular Article 25 July 2018 Pages: 3567 - 3575

17. On fractional Langevin differential equations with anti-periodic boundary conditions

    • Hui Zhou
    • Jehad Alzabut
    • Liu Yang

    Regular Article 25 July 2018 Pages: 3577 - 3590

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

    • Martin Bohner
    • Ivanka Stamova
    • Gani Stamov

    Regular Article 25 July 2018 Pages: 3591 - 3607

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

    • A. A. Martynyuk
    • I. Stamova
    • Yu. A. Martynyuk-Chernienko

    Regular Article 25 July 2018 Pages: 3609 - 3637

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

    • K. Udhayakumar
    • R. Rakkiyappan
    • G. Velmurugan

    Regular Article 25 July 2018 Pages: 3639 - 3655

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

    • Said R. Grace
    • Agacik Zafer

    Regular Article 05 July 2018 Pages: 3657 - 3665

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

    • George A. Anastassiou
    • Ioannis K. Argyros

    Regular Article 19 July 2018 Pages: 3667 - 3680

23. Approximation approach to periodic BVP for fractional differential systems

    • Michal Fečkan
    • Kateryna Marynets

    Regular Article 25 July 2018 Pages: 3681 - 3692

24. Numerical solution of fractional telegraph differential equations by theta-method

    • Mahmut Modanli
    • Ali Akgül

    Regular Article 25 July 2018 Pages: 3693 - 3703

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

    • D. P. Ahokpossi
    • Abdon Atangana
    • D. P. Vermeulen

    Regular Article 25 July 2018 Pages: 3705 - 3727

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

    • Atiyeh Bayani
    • Mohammad Ali Jafari
    • Sajad Jafari

    Regular Article 25 July 2018 Pages: 3729 - 3745

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

    • Manashita Borah
    • Binoy K. Roy

    Regular Article 25 July 2018 Pages: 3747 - 3773

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

    • Liping Chen
    • Wei Pan
    • Yigang He

    Regular Article 25 July 2018 Pages: 3775 - 3789

29. 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
    • Farhad Ali

    Regular Article 25 July 2018 Pages: 3791 - 3802

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

    • Behrouz Parsa Moghaddam
    • José António Tenreiro Machado

    Regular Article 25 July 2018 Pages: 3803 - 3810

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

    • Juan J. Nieto
    • Gani Stamov
    • Ivanka Stamova

    Regular Article 25 July 2018 Pages: 3811 - 3825

32. 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
    • Anitha Karthikeyan

    Regular Article 25 July 2018 Pages: 3827 - 3850

33. Analysis of fractional order inductive transducers

    • Parthasarathi Veeraian
    • Uma Gandhi
    • Umapathy Mangalanathan

    Regular Article 25 July 2018 Pages: 3851 - 3873