Page 52 - IJOCTA-15-3

M. Aychluh et.al. / IJOCTA, Vol.15, No.3, pp.407-425 (2025)

20. Suthar DL, Haile H, Mulualem A. Effect of vacci- an application to a waterborne disease model.
nation on the transmission dynamics of COVID- Alexandria Eng J. 2023;70:665–672.
19 in Ethiopia. Results Phys. 2022;32:105022 https://doi.org/10.1016/j.aej.2023.02.045
https://doi.org/10.1016/j.rinp.2021.105022 33. Aychluh M, & Ayalew M. The fractional power se-
21. Baleanu D, Agarwal RP. Fractional calculus in ries method for solving the nonlinear Kuramoto-
the sky. Adv Differ Equat. 2021;117(2021):1-9. Sivashinsky equation. Int J Appl Comput Math.
https://doi.org/10.1186/s13662-021-03270-7 2025;11(29):1-27.
22. Caputo M, Fabrizio M. A new definition of frac- https://doi.org/10.1007/s40819-025-01850-9
tional derivative without singular kernel. Prog 34. S¸uayip Y, Kara¸cayır M. An exponential Galerkin
Fract Differ Applicat. 2015;1(2):73–85. method for solutions of HIV infection model of
http://dx.doi.org/10.12785/pfda/010201 CD4+ T-cells. Comput Biol Chem. 2017;67:205-
23. Elvin JM, Sekson S, Sanoe K. A Caputo–Fabrizio 212.
fractional differential equation model for https://doi.org/10.1016/j.compbiolchem.2016.12.006
HIV/AIDS with treatment compartment. 35. Ayalew M, Mekash A, Aychluh M. Numerical ap-
Adv Diff Equat. 2019;200(2019):1-20. proximation of space-fractional diffusion equation
https://doi.org/10.1186/s13662-019-2138-9 using Laguerre spectral collocation method. Int J
24. Atangana A, Baleanu D. New fractional deriva- Math Ind. 2025;2450029.
tives with non-local and non-singular kernel: the- https://doi.org/10.1142/S2661335224500291
ory and applications to heat transfer model. Ther- 36. Al-Omari A, Schuttler HB, Arnold J, Taha T.
mal Sci. 2016;20:763–769. Solving nonlinear systems of first order ordinary
25. Al-Refai M, Baleanu D. On an extension of differential equations using a Galerkin finite el-
the operator with Mittag-Leffler kernel. Fractals. ement method. IEEE Access. 2013;1(2013):408-
2022;30(5):2240129. 417.
https://dx.doi.org/10.1142/S0218348X22501298 https://doi.org/10.1109/ACCESS.2013.2269192
26. Ndolane S. SIR epidemic model with Mit- 37. Baleanu, D, Fernandez A. On some new proper-
tag–Leffler fractional derivative Author links ties of fractional derivatives with Mittag-Leffler
open overlay panel. Chaos Sol Fractals. kernel. Commun Nonlinear Sci Numer Simulat.
2020;137:109833. 2018;59:444–462.
https://doi.org/10.1016/j.chaos.2020.109833 https://doi.org/10.1016/j.cnsns.2017.12.003
27. Zaid O. Numerical solutions of linear time- 38. Matignon D. Stability results for fractional dif-
fractional advection-diffusion equations with ferential equations with applications to control
modified Mittag-Leffler operator in a bounded do- processing. Comput Eng Syst Appl Multi-conf.
main. Phys Scrip. 2024;99(1):015205. 1996;2:963-968.
https://doi.org/10.1088/1402-4896/ad0fd0
28. Matiur R, Mehmet Y, Muhammad A, Adnan S.
Theoretical and numerical investigation of a mod-
Mulualem Aychluh is a mathematics lecturer at
ified ABC fractional operator for the spread of
Samara University in Ethiopia. His specialties include
polio under the effect of vaccination. AIMS Bio-
mathematical modeling, numerical methods, special
phys. 2024;11(1):97–120.
functions, and fractional calculus. He received his BSc
https://doi.org/10.3934/biophy.2024007
from Jimma University (2013) and an MSc in Numeri-
29. Hasib K, Jehad A, Dumitru B, Ghada A, &
cal Analysis from Wollo University (2022). With more
Mutti-Ur R. Existence of solutions and a nu-
than 7 years of academic and research experience, he
merical scheme for a generalized hybrid class
specializes in chaos solitons, integral transforms, and
of n-coupled modified ABC-fractional differen-
advanced computational approaches. I also act as a
tial equations with an application. AIMS Math.
reviewer of Mathematical Reviews/MathSciNet., the
2023;8(3):6609–6625.
Zentralblatt MATH and a number of well-known jour-
https://doi.org/10.3934/math.2023334
nals.
30. Odibat Z, Baleanu D. New solutions of the
https://orcid.org/0000-0002-5295-1559
fractional differential equations with modified
Mittag-Leffler kernel. J Comput Nonlinear Dyn.
2023;18(9):18091007. D.L. Suthar is an Associate Professor, Department
https://doi.org/10.1115/1.4062747 of Mathematics, College of Natural Science, at Wollo
31. Khan H, Alzabut J, Alfwzan WF, Gulzar University, Dessie, Amhara Region, Ethiopia. I have
H. Nonlinear dynamics of a piecewise modi- acquired a full-time Ph.D. in Mathematics (Special
fied ABC fractional-Order leukemia model with Function) with 17 years of teaching experience and 20
symmetric numerical simulations. Symmetry. years of research experience, including a Ph.D. pro-
2023;15(7):1338. gram. In my supervision, 5 students have completed
https://doi.org/10.3390/sym15071338 Ph. D. degree and 21 students completed M.Sc. The-
32. Khan H, Alzabut J, Gulzar H. Existence of so- sis. My research interests include Special functions,
lutions for hybrid modified ABC-fractional differ- Fractional Calculus, Integral transforms, Basic Hy-
ential equations with p-Laplacian operator and pergeometric Series, Geometric Function Theory and
424