Publications

Books

Books Edited

  1. M. Chatzakou, J.E. Restrepo , M. Ruzhansky, B. Torebek, K. Van Bockstal. Modern Problems in PDEs and Applications - Extended Abstracts of the 2023 GAP Center Summer School. Research Perspectives Ghent Analysis and PDE Center. Birkhäuser, 2024.
    https://link.springer.com/book/9783031567315
  2. D. Cardona, J.E. Restrepo, M. Ruzhansky. Extended Abstracts 2021/2022, Methusalem Lectures. Research Perspectives Ghent Analysis and PDE Center. Birkhäuser, 2024.
    https://link.springer.com/book/9783031485787

Preprints

7. C. Lizama, J.E. Restrepo. From singular memory laws to abstract Volterra equations. Submitted, (2026).

6. A. Jerbashian, A. Karapetyants, J.E. Restrepo. Hölder spaces of holomorphic functions in the unit ball of $\mathbb{C}^n.$ Submitted, (2026).

5. S. Gómez Cobos, J.E. Restrepo, M. Ruzhansky. Boundedness of spectral multipliers on locally compact groups and applications. https://doi.org/10.48550/arXiv.2302.00721, (2026).

4. J.E. Restrepo, P. Roychowdhury, M. Ruzhansky. Decay, Blow-Up, and Spectral Effects for Fisher-KPP Equations on Riemannian Manifolds, (2026).

3. J.E. Restrepo. Abstract Volterra integral equations of wave type with almost sectorial operators.
https://doi.org/10.48550/arXiv.2509.05229, (2025).

2. J.E. Restrepo. Anomaly of the fractional heat propagator in abstract settings.
https://doi.org/10.48550/arXiv.2501.16569, (2025).

1. S. Gómez Cobos, J.E. Restrepo, M. Ruzhansky. Evolutionary integro-differential equations of scalar type on locally
compact groups. https://doi.org/10.48550/arXiv.2409.18141, (2024).

Publications

46. J.E. Restrepo. Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators. Fract. Calc. Appl. Anal., (2026). https://doi.org/10.1007/s13540-026-00513-w

45. M Chatzakou, J.E. Restrepo, M Ruzhansky. Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. Integral Transforms Spec. Funct., (2026). https://doi.org/10.1080/10652469.2026.2628200

44. A. Jerbashian, J.E. Restrepo. On projection from $A^p_\omega$ to the Hardy spaces $H^p$. Math Notes, 118(3-4), (2025), 538--549. https://doi.org/10.1134/S0001434625601777

43. J.E. Restrepo, M. Ruzhansky, B.T. Torebek. Integro-differential diffusion equations on graded Lie groups. Asymptotic Anal., 144 (1), (2025), 1065--1080. https://doi.org/10.3233/ASY-241940

42. S. G\'omez Cobos, J.E. Restrepo, M. Ruzhansky. $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups. C. R. Acad. Sci. Paris 362, (2024), 1331-1336. https://doi.org/10.5802/crmath.643

41. W.A.A. de Moraes, J.E. Restrepo, M. Ruzhansky. Heat and wave type equations with non-local operators, I. Compact Lie groups. Int. Math. Res. Not. IMRN. 2, (2024), 1299-1328. https://doi.org/10.1093/imrn/rnad017

40. A.M. Jerbashian, S.G. Rafayelyan, J.E. Restrepo. Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus. Fract. Calc. Appl. Anal. 27, 971–986 (2024). https://doi.org/10.1007/s13540-024-00267-3

39. V. Kumar, J.E. Restrepo, M. Ruzhansky. Asymptotic Estimates for the Growth of Deformed Hankel Transform by Modulus of Continuity. Results Math. 79, 22 (2024). https://doi.org/10.1007/s00025-023-02051-w

38. V. Kumar, J.E. Restrepo. Titchmarsh Theorem by Modulus of Continuity for the Deformed Hankel–Lipschitz Classes. In: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham, 2024. https://doi.org/10.1007/978-3-031-41665-1_9

37. A. Fernandez, J. E. Restrepo, J.-D. Djida. On the fractional Laplacian of a function with respect to another function. Math. Meth. Appl. Sci. 47, (2024), 14079-14110. https://doi.org/10.1002/mma.10256.

36. J.E. Restrepo, M. Ruzhasky, D. Suragan. Generalized fractional Dirac type operators. Fract. Calc. Appl. Anal. 26, 2720--2756 (2023). https://doi.org/10.1007/s13540-023-00209-5

35. A. Fernandez, J.E. Restrepo, D. Suragan. A new representation for the solutions of fractional differential equations with variable coefficients. Mediterr. J. Math., 20(27), (2023). https://doi.org/10.1007/s00009-022-02228-7

34. A. Fernandez, J.E. Restrepo, D. Suragan. On linear fractional differential equations with variable coefficients. Appl. Math. Comput., 432, #127370, (2022). https://doi.org/10.1016/j.amc.2022.127370

33. A. Fernandez, J.E. Restrepo, D. Suragan. Prabhakar-type linear differential equations with variable coefficients. Differ. Integral Equ., 35(9/10), (2022), 581-610. https://doi.org/10.57262/die035-0910-581

32. K. Jabbarkhanov, J.E. Restrepo, D. Suragan. A reaction-diffusion equation on stratified groups. J. Math. Sci., 266, (2022), 593—602. http://dx.doi.org/10.1007/s10958-022-05965-y

31. J.E. Restrepo, D. Suragan. New characterizations of harmonic Hardy spaces. Chapter in: Ruzhansky, M., Wirth, J. (eds) Harmonic Analysis and Partial Differential Equations. Trends in Mathematics. Birkhäuser, Cham, (2022). https://doi.org/10.1007/978-3-031-24311-0_10

30. J.E. Restrepo, H. Rafeiro. Revisiting Taibleson’s theorem. Electron. Res. Arch., 30(2), (2022), 565-573. http://dx.doi.org/10.3934/era.2022029

29. T. Ozawa, J.E. Restrepo, D. Suragan. Inverse abstract Cauchy problems. Appl. Anal., 101(14), (2022), 4965--4969. https://doi.org/10.1080/00036811.2021.1877679

28. A. Karapetyants, J.E. Restrepo. Composition operators on holomorphic variable exponent spaces. Math. Method. Appl. Sci., 45(14), (2022), 8566—8577. http://dx.doi.org/10.1002/mma.7307

27. A. Abilassan, J.E. Restrepo, D. Suragan. On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method. Integral Transforms Spec. Funct., 34(3), (2022), 244—260. http://dx.doi.org/10.1080/10652469.2022.2111420

26. A. Fernandez, J.E. Restrepo, D. Suragan. Linear differential equations with variable coefficients and Mittag-Leffler kernels. Alex. Eng. J., 61(6), (2021), 4757--4763. https://doi.org/10.1016/j.aej.2021.10.028

25. A. Fernandez, J.E. Restrepo, D. Suragan. Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces. Monatsh. Math., 197, (2022), 353—364. http://dx.doi.org/10.1007/s00605-021-01621-w

24. O. Blasco, A. Karapetyants, J.E. Restrepo. Boundedness of composition operators in holomorphic Hölder type spaces. Math. Method. Appl. Sci., 44(17), (2021), 13670--13683. http://dx.doi.org/10.1002/mma.7650

23. J.E. Restrepo, D. Suragan. Hilfer-type fractional differential equations with variable coefficients. Chaos Solit., 150, #111146, (2021). https://doi.org/10.1016/j.chaos.2021.111146

22. J.E. Restrepo, D. Suragan. Direct and inverse Cauchy problems for generalized space-time fractional differential equations. Adv. Differential Equations, 26(7--8), (2021), 305--339. http://dx.doi.org/10.57262/ade026-0708-305

21. R. Daher, A. Fernandez, J.E. Restrepo. Characterising extended Lipschitz type conditions with moduli of continuity. Results Math. 76, #125, (2021). http://dx.doi.org/10.1007/s00025-021-01433-2

20. J.E. Restrepo, M. Ruzhansky, D. Suragan. Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions. Appl. Math. Comput., 403, #126177, (2021). https://doi.org/10.1016/j.amc.2021.126177

19. J.E. Restrepo, D. Suragan. Oscillatory solutions of fractional integro-differential equations II. Math. Method. Appl. Sci., 44(8), (2021), 7262--7274. http://dx.doi.org/10.1002/mma.7258

18. J.E. Restrepo, D. Suragan. Hardy type inequalities in generalized grand Lebesgue spaces. Adv. Oper. Theory, 6(2), #30, (2021). http://dx.doi.org/10.1007/s43036-020-00127-w

17. D. Baleanu, J.E. Restrepo, D. Suragan. A class of time-fractional Dirac type operators. Chaos Solit., 143, #110590, (2021). https://doi.org/10.1016/j.chaos.2020.110590

16. J.E. Restrepo, R.A. Higuita, S. Jain. Hyers-Ulam-Rassias stabilities of some classes of fractional differential equations. Chapter in: Special functions and analysis of differential equations, edited by P. Agarwal, R.P. Agarwal and Michael Ruzhansky. CRC Press- Taylor & Francis Group, 2020.

15. O. Blasco, A. Karapetyants, J.E. Restrepo. Holomorphic Hölder type spaces and composition operators. Math. Method. Appl. Sci., 43(17), (2020), 10005--10026. http://dx.doi.org/10.1002/mma.6675

14. J.E. Restrepo, D. Suragan. Oscillatory solutions of fractional integro-differential equations. Math. Method. Appl. Sci., 43(15), (2020), 9080--9089. http://dx.doi.org/10.1002/mma.6602

13. A. Akkurt, J.E. Restrepo, H. Yildirim. Representations and properties of a new family of omega-Caputo fractional derivatives. Turk. J. Math., 44(3), (2020), 662--675. http://dx.doi.org/10.3906/mat-1906-94

12. P. Agarwal, J.E. Restrepo. An extension by means of $\omega$-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities. J. Math. Inequal., 14(1), (2020), 35--46. http://dx.doi.org/10.7153/jmi-2020-14-03

11. A. Karapetyants, J.E. Restrepo. Generalized Hölder Type Spaces of Harmonic functions in the unit ball and half space. Czech. Math. J., 70, (2020), 675--691. http://dx.doi.org/10.21136/cmj.2019.0431-18

10. A. Karapetyants, J.E. Restrepo. Boundedness of projection operator in generalized holomorphic and harmonic spaces of Hölder type functions. Chapter in: Modern methods in operator theory and harmonic analysis. Springer Proceedings in Mathematics & Statistics, 2019. https://doi.org/10.1007/978-3-030-26748-3_4

9. J.E. Restrepo, A. Piedrahita, P. Agarwal. Multidimensional Fourier Transform and Fractional Derivative. Proc. Jangjeon Math. Soc., 22(2), (2019), 269--279. http://dx.doi.org/10.17777/pjms2019.22.2.269

8. P. Agarwal, A.M. Jerbashian, J.E. Restrepo. Weighted integral inequalities in terms of omega-fractional integro-differentiation. Chapter in: Advances in mathematical inequalities and applications. Birkhäuser series: Trends in Mathematics, 2018. https://doi.org/10.1007/978-981-13-3013-1_10

7. J.E. Restrepo. On some subclasses of delta-subharmonic functions of bounded type in the disc. J. Contemp. Math. Anal., 53(6), (2018), 346--354. http://dx.doi.org/10.3103/S1068362318060055

6. A.M. Jerbashian, J.E. Restrepo. A boundary property of some subclasses of functions of bounded type in the half-plane. Fract. Calc. Appl. Anal., 20(6), (2017), 1531--1544. http://dx.doi.org/10.1515/fca-2017-0080

5. J.E. Restrepo, A.M. Jerbashian, P. Agarwal. On some subclasses of hypergeometric functions with Djrbashian Cauchy type kernel. J. Nonlinear Sci. Appl., 10(5), (2017), 2340--2349. http://dx.doi.org/10.22436/jnsa.010.05.06

4. J.E. Restrepo, A. Kilicman, P. Agarwal, O. Altun. Weighted hypergeometric functions and fractional derivative. Adv. Differ. Equ., 2017, #105, (2017), 1--11. http://dx.doi.org/10.1186/s13662-017-1165-7

3. A.M. Jerbashian, J.E. Restrepo. On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane. J. Contemp. Math. Anal., 51(2), (2016), 79--89. http://dx.doi.org/10.3103/S1068362316020047

2. A.M. Jerbashian, J.E. Restrepo. On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the half-plane. J. Contemp. Math. Anal., 51(3), (2016), 134--147. http://dx.doi.org/10.3103/S1068362316030043

1. A.M. Jerbashian, J.E. Restrepo. Riesz type minimal representations in the half-plane. Adv. Appl. Math. Sci., 17(12), (2012), 1--37.