1. Dynamical repulsive fractional potential fields in 3D environment

   • Stéphane Victor
   • Kendric Ruiz
   • Serge Chaumette

   Review 21 April 2022 Pages: 321 - 345

   

2. Monte Carlo method for fractional-order differentiation

   • Nikolai Leonenko
   • Igor Podlubny

   Original Paper Open access 18 April 2022 Pages: 346 - 361

   

3. The fractional-order Lorenz-type systems: A review

   • Ivo Petráš

   Review Open access 18 April 2022 Pages: 362 - 377

   

4. Hölder regularity for non-autonomous fractional evolution equations

   • Jia Wei He
   • Yong Zhou

   Original Paper 03 May 2022 Pages: 378 - 407

5. Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain

   • Xiao-Li Ding
   • Juan J. Nieto
   • Xiaolong Wang

   Original Paper Open access 20 April 2022 Pages: 408 - 438

6. Computation of the inverse Mittag–Leffler function and its application to modeling ultraslow dynamics

   • Yingjie Liang
   • Yue Yu
   • Richard L. Magin

   Original Paper 25 April 2022 Pages: 439 - 452

   

7. Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations

   • Hui Zhang
   • Fanhai Zeng
   • George Em Karniadakis

   Original Paper 03 May 2022 Pages: 453 - 487

   

8. Stochastic solutions of generalized time-fractional evolution equations

   • Christian Bender
   • Yana A. Butko

   Original Paper Open access 19 April 2022 Pages: 488 - 519

9. The fractional variation and the precise representative of \(BV^{\alpha ,p}\) functions

   • Giovanni E. Comi
   • Daniel Spector
   • Giorgio Stefani

   Original Paper Open access 25 April 2022 Pages: 520 - 558

10. On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition

    • Nguyen Minh Dien

    Original Paper 19 April 2022 Pages: 559 - 583

11. Delsarte equation for Caputo operator of fractional calculus

    • Hassan Emamirad
    • Arnaud Rougirel

    Original Paper 03 May 2022 Pages: 584 - 607

12. Hölder regularity for the nonlinear stochastic time-fractional slow & fast diffusion equations on \({\mathbb {R}}^d\)

    • Le Chen
    • Guannan Hu

    Original Paper 18 April 2022 Pages: 608 - 629

    

13. An eigenvalue problem in fractional h-discrete calculus

    • F. M. Atıcı
    • J. M. Jonnalagadda

    Original Paper 19 April 2022 Pages: 630 - 647

14. Unified predictor–corrector method for fractional differential equations with general kernel functions

    • Guo-Cheng Wu
    • Hua Kong
    • Lan-Lan Huang

    Original Paper 29 April 2022 Pages: 648 - 667

    

15. The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field

    • Vladyslav Litovchenko

    Original Paper 18 April 2022 Pages: 668 - 686

16. Fractional vector-valued nonuniform MRA and associated wavelet packets on \(L^2\big ({\mathbb {R}},{\mathbb {C}}^M\big )\)

    • M. Younus Bhat
    • Aamir H. Dar

    Original Paper 19 April 2022 Pages: 687 - 719

17. Attractors of Caputo fractional differential equations with triangular vector fields

    • Thai Son Doan
    • Peter E. Kloeden

    Original Paper 18 April 2022 Pages: 720 - 734

    

18. Asymptotics of the Mittag-Leffler function \(E_a(z)\) on the negative real axis when \(a \rightarrow 1\)

    • Richard Paris

    Original Paper 20 April 2022 Pages: 735 - 746

    

19. Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data

    • Binjie Li
    • Hao Luo
    • Xiaoping Xie

    Original Paper 18 April 2022 Pages: 747 - 782

20. Mixed stochastic heat equation with fractional Laplacian and gradient perturbation

    • Mounir Zili
    • Eya Zougar

    Original Paper 25 April 2022 Pages: 783 - 802

21. Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems

    • Shibendu Mahata
    • Norbert Herencsar
    • Celaleddin Yeroglu

    Original Paper 25 March 2022 Pages: 803 - 821

    

22. Infinitely many large solutions to a variable order nonlocal singular equation

    • Sekhar Ghosh
    • Dumitru Motreanu

    Original Paper 27 April 2022 Pages: 822 - 839