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Conformable Schr¨odinger equation in D-dimensional space
¨
[44] Yavuz, M. (2018). Novel solution methods for [53] G¨okdo˘gan, A., Unal, E., & C¸elik. E. (2015). Con-
initial boundary value problems of fractional or- formable Fractional Bessel Equation and Bessel
der with conformable differentiation. An Interna- Functions. arXiv preprint , arXiv: 1506.07382.
tional Journal of Optimization and Control: The-
ories & Applications (IJOCTA), 8(1), 1-7. https: Eqab Rabei earned his Ph D from Middle East Tech-
//doi.org/10.11121/ijocta.01.2018.00540 nical University And has since held faculty positions
[45] Odaba¸sı, M. (2021). Exact analytical solutions of at Mutah University and in 2008 he moved to Al Al
the fractional biological population model, frac- Bayt University. His research focused on Hamilton-
tional EW and modified EW equations. An In- ian constrained systems and The physical application
ternational Journal of Optimization and Control: of fractional calculus. He has been recognized with var-
Theories & Applications (IJOCTA), 11(1), 52–58. ious awards for his teaching excellence and innovative
research.
https://doi.org/10.11121/ijocta.01.2021.
00841 https://orcid.org/0000-0003-2777-8851
[46] Bateman, H., & Erd´elyi, A.(1953). Higher
Mohamed Ghaleb Al-Masaeed received his Bach-
transcendental functions. Bateman Manuscript
elors degree in physics in 2016 and Master degree in
Project) Mc Graw-Hill Book Company, volume II. physics in 2021 from Al al-Bayt University in Jordan.
[47] Blumenson, L.E. (1960). A derivation of n- He has made significant contributions to the fields of
dimensional spherical coordinates. The Ameri- quantum physics, mathematical physics, and fractional
can Mathematical Monthly, 67(1), 63–66. https: calculus. His research often involves the application of
//doi.org/10.2307/2308932 conformable derivatives and fractional calculus to var-
[48] Palmer, C., & Stavrinou, P. N. (2004). Equations ious quantum systems.
of motion in a non-integer-dimensional space.
https://orcid.org/0000-0001-5647-2339
Journal of Physics A: Mathematical and General,
37(27),6987. https://doi.org/10.1088/0305-4 Sami Muslih is a professor of mathematical physics
470/37/27/009 at Al-Azhar University in Gaza, Palestine. He earned
[49] Stillinger, F. H. (1977). Axiomatic basis for spaces his Ph D from Middle East Technical University. He
with noninteger dimension. Journal of Mathemat- was awarded the Fulbright scholarship to be a visit-
ical Physics, 18(6), 1224–1234. https://doi.or ing Professor at Southern Illinois University, in 2008.
g/10.1063/1.523395 He currently works at University of Illinois at Urbana
[50] Mart´ınez, F., Mart´ınez, I., Kaabar, M., & Pare- Champaign, USA. He has made significant contribu-
des, S. (2022). Novel results on conformable tions to the fields of fractional calculus and integrable
Bessel functions. Nonlinear Engineering, 11(1), 6– systems. His research often involves the application
12. https://doi.org/10.1515/nleng-2022-0 of fractional derivatives to classical and quantum sys-
002 tems.
[51] Al-Masaeed, M. G,. Rabei, E. M,. Muslih, S. I,. & https://orcid.org/0009-0007-1495-8817
Baleanu, D. (2024). Solving conformable Gegen-
Dumitru Baleanu is a well-respected professor of
bauer differential equation and exploring its gen-
applied mathematics and mathematical physics at
erating function. International Journal of Applied
Lebanese American University, Beirut, Lebanon. He
and Computational Mathematics, 10(6), 163. ht
was born on December 4, 1964, in Romania and has
tps://doi.org/10.1007/s40819-024-01796-4
made significant contributions to the field of fractional
[52] Rabei, E. M., Al-Jamel, A., & Al-Masaeed, M. G.
calculus and its applications. He holds a Ph.D. from
(2023). Solution of conformable Laguerre and as-
the University of Bucharest and has held academic po-
sociated Laguerre equations using Laplace trans-
sitions at several institutions, including the Institute
form. Asian-European Journal of Mathematics,
of Space Sciences in Bucharest and Cankaya Univer-
16(10), 2350181. https://doi.org/10.1142/
sity in Ankara, Turkey.
S1793557123501814
https://orcid.org/0000-0002-0286-7244
An International Journal of Optimization and Control: Theories & Applications
(https://accscience.com/journal/ijocta)

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