1. New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents

   • Ferenc Weisz

   Original Paper Open access 27 December 2022 Pages: 1 - 31

2. Prabhakar function of Le Roy type: a set of results in the complex plane

   • Jordanka Paneva-Konovska

   Original Paper 07 December 2022 Pages: 32 - 53

3. Multi-parametric Le Roy function

   • Sergei Rogosin
   • Maryna Dubatovskaya

   Original Paper 03 January 2023 Pages: 54 - 69

4. A novel approach to stability analysis of a wide class of irrational linear systems

   • Vukan Turkulov
   • Milan R. Rapaić
   • Rachid Malti

   Original Paper 05 January 2023 Pages: 70 - 90

   

5. On removable singular sets for solutions of higher order differential inequalities

   • A. A. Kon’kov
   • A. E. Shishkov

   Original Paper 27 December 2022 Pages: 91 - 110

   

6. Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation

   • Meiirkhan B. Borikhanov
   • Michael Ruzhansky
   • Berikbol T. Torebek

   Original Paper 05 December 2022 Pages: 111 - 146

7. Local and global conserved quantities involving generalized operators

   • Chuan-Jing Song
   • Yi Zhang

   Original Paper 23 November 2022 Pages: 147 - 171

8. Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator

   • Biao Zeng

   Original Paper 27 December 2022 Pages: 172 - 192

9. Reconstruction of pointwise sources in a time-fractional diffusion equation

   • Mourad Hrizi
   • Maatoug Hassine
   • Antonio André Novotny

   Original Paper 05 January 2023 Pages: 193 - 219

   

10. Lyapunov stability theorems for \(\psi \)-Caputo derivative systems

    • Bichitra Kumar Lenka
    • Swaroop Nandan Bora

    Original Paper 06 December 2022 Pages: 220 - 236

11. Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system

    • Phuong Le

    Original Paper 27 December 2022 Pages: 237 - 252

12. Limitations and applications in a fractional Barbalat’s Lemma

    • Noemi Zeraick Monteiro
    • Sandro Rodrigues Mazorche

    Original Paper 02 December 2022 Pages: 253 - 275

    

13. Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space

    • Jie Mei
    • Miao Li

    Original Paper 28 November 2022 Pages: 276 - 304

    

14. Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions

    • Alejandro Ortega

    Original Paper 19 December 2022 Pages: 305 - 335

    

15. Oscillation of higher order fractional differential equations

    • Miroslav Bartušek
    • Zuzana Došlá

    Original Paper 28 November 2022 Pages: 336 - 350

16. On the lifting property for the lipschitz spaces \(\varLambda _{\alpha }\) with \(\alpha >0\)

    • Vincenzo Ambrosio

    Original Paper 13 December 2022 Pages: 351 - 369

17. A spectral approach to non-linear weakly singular fractional integro-differential equations

    • Amin Faghih
    • Magda Rebelo

    Original Paper 07 December 2022 Pages: 370 - 398

    

18. A critical elliptic problem involving exponential and singular nonlinearities

    • Debajyoti Choudhuri
    • Kamel Saoudi

    Original Paper 27 December 2022 Pages: 399 - 413

19. Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise

    • Fuzhi Li
    • Mirelson M. Freitas

    Original Paper 02 December 2022 Pages: 414 - 438

20. Exact solutions and Hyers-Ulam stability of fractional equations with double delays

    • Yixing Liang
    • Yang Shi
    • Zhenbin Fan

    Original Paper 27 December 2022 Pages: 439 - 460