Ish faoliyati: 9 yil
Pedagogik faoliyati: 4 yil
2007-2011 yillarda Buxoro davlat universitet talabasi. 2011-2012 yillarda Buxoro davlat universiteti huzuridagi 1-son akademik litseyi matematika fani o’qituvchisi. 2012-2014 yillarda Samarqabd davlat universiteti magistratura talabasi, 2014-2018 yillarda Buxoro davlat universiteti “Matematika” kafedrasi o‘qituvchisi. 2018-2021 yillarda Buxoro davlat universiteti tayanch doktoranti. 2021-2022 yillarda Buxoro davlat universiteti Differensial tenglamalar kafedrasi o’qituvchisi. 2022 yil 5-yanvardan O‘zbekiston Respublikasi Fanlar akademiyasi V.I. Romanovskiy nomidagi Matematika institutining doktoranti lavozimda faoliyat olib bormoqda.
A.A. Rahmonov 2020-yilda “Yopishqoq-elastik g’ovak muhitda integro-differensial tenglamalar sistemasi uchun teskari masalalar” mavzusida fizika-matematika fanlari bo‘yicha falsafa doktori ilmiy darakasini olish uchun dissertasiyasi himoya qilgan.
Uning ilmiy izlanishlari natijasida, 1 ta monografiya, 10 dan ortiq xalqaro miqyosidagi jurnallarda, 20 dan ortiq maqola va tezislari Respublika miqyosidagi jurnallar va konferensiya to’plamlarida chop etilgan.
A.A. Rahmonov Davlat ilmiy-texnik dasturlari doirasida bajarilgan:
- 2016-2020 yillarda Ф-4-07 raqamli «Statistik fizika modellarining chiziqli bo‘lmagan integral tenglamalari va ularning tadbiqlari» mavzusidagi grant loyihasida katta ilmiy xodim sifatida izlanishlar olib borgan.
O’zbekiston Respublikasi Oliy va o’rta maxsus ta’lim vazirligi huzuridagi O’zbekiston Milliy Universiteti huzuridagi “Pedagogik kadrlarni qayta tayyorlash va ularning malakasini oshirish”mintaqaviy malaka oshirish markazida “Matematika” ta’lim yo‘nalishi bo’yicha malaka oshirib kelgan (Toshkent, 2016 yil).
Rossiya Federatsiyasi Ta’lim va fan vazirligi Novosibirk davlat texnika universitetida ilmiy tadqiqot o’tab kelgan (RF, Novosibirsk, 2016 yil).
1.D.K.Durdiev, E.L.Shishkina, A.A. Rahmonov. The explicit formula for a solution of wave differential equation with fractional derivatives in the multidimensional space. Bulletin of the Institute of Mathematics 2022, Vol. 5, 2, pp.1-12.
2.A.A.Rahmonov, Z.R.Bozorov. Recovering time dependent function for the fractional diffusion equation in a finite domain. Uzbek Mathematical Journal 2022, Volume 66, Issue 2, pp.135-149, DOI:10.29229/uzmj.2022-2-13
3.Z.A.Subhonova, A.A.Rahmonov. Problem of Determining the Time Dependent Coefficient in the Fractional Diffusion-Wave Equation. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 3, pp. 687–700.
4.D.K.Durdiev, A.A.Rahmonov. A multidimensional diffusion coefficient determination problem for the time-fractional equation. Turk J Math (2022) 46: 2250 – 2263, doi:10.55730/1300-0098.3266
5.D.K. Durdiev, A.A. Rahmonov, Z.R.Bozorov. A two-dimensional diffusion coefficient determination problem for the time-fractional equation. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.7442
6.M.A.Sultonov, D.K.Durdiev, A.A. Rahmonov. Construction of an Explicit Solution of a Time-Fractional Multidimensional Differential Equation. Mathematics 2021, 9(17), 2052; https://doi.org/10.3390/math9172052
7.A.A.Rakhmonov, U.D.Durdiev, Z.R.Bozorov, “Problem of determining the speed of sound and the memory of an anisotropic medium”, Theoret. and Math. Phys., 207:1 (2021), 494–513.
8.Durdiev D.K., Rahmonov A.A. A 2D kernel determination problem in a visco–elastic porous medium with a weakly horizontally inhomogeneity. // Mathematical Methods in the Applied Sciences, 2020; pp. 1-21.
9.Дурдиев Д.К., Рахмонов А.А. Обратная задача для системы интегро–дифференциальных уравнений SH-волн в вязкоупругой пористой среде: глобальная разрешимость. // Теоретическая и математическая физика, 2018, Т. 195, № 3, стр. 491-506.
10.Дурдиев Д.К., Рахмонов А.А. Задача об определении двумерного ядра в системе интегро–дифференциальных уравнений вязкоупругой пористой среды. // Сибирский Журнал Индустриальной математики, 2020, Т. 23, № 2. C. 63-80.
11.Ikromov I.A., Rahmonov A.A. On reconstruction of distributions by spherical means. // Uzbek Mathematical Journal, 2019, № 3, pp. 49-60.
12.Rahmonov A.A. Coefficient determination problem in the system of integro–differential equation for visco–elastic porous medium // Uzbek Mathematical Journal, 2020, №1, p. 102-115.
13.Рахмонов А.А. Обратная задача для интегро–дифференциального уравнения волны SH в упруго–пористой среде. // Научный вестник Бухарского государственного университета. 2017/3 (67), C. 41-45.
14.Rahmonov A.A. Recovering stationary external force by distributions. // Scientific reports of Bukhara State University, 2019/4 (76), pp. 98-101.