Biography

Prof. Rodica Luca

Department of Mathematics

"Gheorghe Asachi" Technical University, Romania

Professor


Email: [email protected](preferred); [email protected]


Qualifications

1996 Ph.D., Alexandru Ioan Cuza University, Iasi, Romania

1984 Degree in Mathematics (graduated), Alexandru Ioan Cuza University, Iasi, Romania


Publications (selected)

  1. Tudorache, A., & Luca, R. (2025). Positive solutions for a semipositone singular ψ-Riemann-Liouville fractional boundary value problem. Mathematics, 13(20), Article 3292.
  2. Tudorache, A., & Luca, R. (2025). A Hadamard fractional boundary value problem on an infinite interval at resonance. Fractal and Fractional, 9(6), Article 378.
  3. Luca, R., & Tudorache, A. (2025). Existence of solutions for a Hadamard fractional boundary value problem at resonance. Fractal and Fractional, 9(2), Article 119.
  4. Tudorache, A., & Luca, R. (2024). Positive solutions to a system of coupled Hadamard fractional boundary value problems. Fractal and Fractional, 8(9), Article 543.
  5. Tudorache, A., & Luca, R. (2024). Existence of solutions to a system of fractional q-difference boundary value problems. Mathematics, 12(9), Article 1335.
  6. Luca, R. (2024). Positive solutions for a system of fractional q-difference equations with multi-point boundary conditions. Fractal and Fractional, 8(1), Article 70.
  7. Tudorache, A., & Luca, R. (2023). Systems of Hilfer-Hadamard fractional differential equations with nonlocal coupled boundary conditions. Fractal and Fractional, 7(11), Article 816.
  8. Tudorache, A., & Luca, R. (2023). Positive solutions for a system of Hadamard fractional boundary value problems on an infinite interval. Axioms, 12(8), Article 793.
  9. Luca, R., & Tudorache, A. (2023). On a system of Hadamard fractional differential equations with nonlocal boundary conditions on an infinite interval. Fractal and Fractional, 7(6), Article 458.
  10. Luca, R. (2023). Advances in boundary value problems for fractional differential equations. Fractal and Fractional, 7(5), Article 406.
  11. Ahmad, B., Luca, R., & Alsaedi, A. (2023). On a system of coupled nonlocal singular fractional boundary value problems with δ-Laplacian operators. Journal of Applied Analysis and Computation, 13(1), 57–80.
  12. Tudorache, A., & Luca, R. (2023). On a system of sequential Caputo fractional differential equations with nonlocal boundary conditions. Fractal and Fractional, 7(2), Article 181.
  13. Tudorache, A., & Luca, R. (2022). Systems of Riemann-Liouville fractional differential equations with ρ-Laplacian operators and nonlocal coupled boundary conditions. Fractal and Fractional, 6(10), Article 610.
  14. Henderson, J., Luca, R., & Tudorache, A. (2022). On a fractional differential equation with r-Laplacian operator and nonlocal boundary conditions. Mathematics, 10(17), Article 3139.
  15. Tudorache, A., & Luca, R. (2022). Positive solutions for a fractional differential equation with sequential derivatives and nonlocal boundary conditions. Symmetry, 14(9), Article 1779.
  16. Henderson, J., Luca, R., & Tudorache, A. (2022). On a system of Riemann-Liouville fractional boundary value problems with ρ-Laplacian operators and positive parameters. Fractal and Fractional, 6(6), Article 299.
  17. Tudorache, A., & Luca, R. (2022). Positive solutions for a system of fractional boundary value problems with r-Laplacian operators, uncoupled nonlocal conditions and positive parameters. Axioms, 11(4), Article 164.
  18. Tudorache, A., & Luca, R. (2022). Positive solutions of a singular fractional boundary value problem with r-Laplacian operators. Fractal and Fractional, 6(1), Article 18.
  19. Tudorache, A., & Luca, R. (2021). Existence of positive solutions for a semipositone boundary value problem with sequential fractional derivatives. Mathematical Methods in the Applied Sciences, 44(18), 14451–14469.
  20. Tudorache, A., & Luca, R. (2021). Positive solutions of a fractional boundary value problem with sequential derivatives. Symmetry, 13(8), Article 1489.
  21. Henderson, J., Luca, R., & Tudorache, A. (2021). Positive solutions for a system of coupled semipositone fractional boundary value problems with sequential fractional derivatives. Mathematics, 9(7), Article 753.
  22. Luca, R. (2021). On a system of Riemann-Liouville fractional differential equations with coupled nonlocal boundary conditions. Advances in Difference Equations, 2021(1), Article 134.


Profile Details

https://scholar.google.com/citations?user=i-pocUIAAAAJ&hl=ro
https://www.researchgate.net/profile/Rodica-Luca
https://sites.google.com/site/rodicalucatudorache/home

WOS ResearchID: AAF-4162-2020

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