01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
30.10.1969
E-mail:
UDC:
517.926, 517.95
Subject:
Differential equations.
Main publications:
A.V. Pskhu, “Nakhushev extremum principle for a class of integro-differential operators”, Fractional Calculus and Applied Analysis, 23:6 (2020), 1712-1722
A.V. Pskhu, “Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative”, Electron. J. Differential Equations, 2019 (2019), 1-13
A.V. Pskhu, “Multi-time fractional diffusion equation”, European Physical Journal: Special Topic, 222:8 (2013), 1939–1950
A.V. Pskhu, “Initial-value problem for a linear ordinary differential equation of noninteger order”, Sb. Math., 202:4 (2011), 571–582
A.V. Pskhu, “The fundamental solution of a diffusion-wave equation of fractional order”, Izv. Math., 73:2 (2009), 351–392
A.V. Pskhu, “On the real zeros of functions of Mittag-Leffler type”, Math. Notes, 77:4 (2005), 546–552
A.V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, Moskva, 2005 , 199 pp.
A.V. Pskhu, “On the Theory of the Continual Integro-Differentiation Operator”, Differ. Equ., 40:1 (2004), 128–136
A.V. Pskhu, “Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method”, Differ. Equ., 39:10 (2003), 1509–1513
A.V. Pskhu, “Solution of a Boundary Value Problem for a Fractional Partial Differential Equation”, Differ. Equ., 39:8 (2003), 1150–1158
A.V. Pskhu, “On the solution of the Frankl problem”, Differ. Equ., 36:3 (2000), 474–476
A. Ya. Belov, V. M. Buchstaber, V. B. Vasilyev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamyi, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024), 5–19
2023
2.
A. A. Pskhu, “D'alembert formula for diffusion-wave equation”, Lobachevskii Journal of Mathematics, 44:2 (2023), 644–652
A. A. Pskhu, “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s drobnoi proizvodnoi Liuvillya”, Differentsialnye uravneniya, 58:8 (2022), 1053-1061
4.
A. A. Pskhu, “Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain”, JOURNAL OF MATHEMATICAL SCIENCES, 260:3 (2022), 325–334
C. Sh. Rekhviashvili, A. A. Pskhu, “Drobnyi ostsillyator s eksponentsialno-stepennoi funktsiei pamyati”, Pisma v Zhurnal tekhnicheskoi fiziki, 48:7 (2022), 33-35
S.Sh. Rekhviashvili, A. V. Pskhu, Z. Ch. Margushev, “Fractional oscillator radiation”, TECHNICAL PHYSICS LETTERS, 48:2 (2022), 35–38
2021
7.
L. Eneeva, A. Pskhu, A. Potapov, T. Feng, S. Rekhviashvili, “Lyapunov Inequality for a Fractional Differential Equation Modeling Damped Vibrations of Thin Film MEMS”, Advances in Intelligent Systems and Computing (ICCD 2019, Xian; China; 22 November, 5th International Conference on Intelligent Computing, Communication and Devices), 1185, eds. Wu C.H., Patnaik S., Popentiu Vladicescu F., Nakamatsu K. (eds), Springer, Singapore, 2021, 454–457
S. Rekhviashvili, A. Pskhu, A. Potapov, T. Feng, L. Eneeva, “Modeling Damped Vibrations of Thin Film MEMS: Fractional Approach”, Advances in Intelligent Systems and Computing, Proceedings of ICCD 2019 (5th International Conference on Intelligent Computing, Communication and Devices, ICCD 2019; Xian; China; 22 November), Recent Developments in Intelligent Computing, Communication and Devices, 1185, eds. Wu C.H., Patnaik S., Popentiu Vladicescu F., Nakamatsu K. (eds), Springer, Singapore, 2021, 458–463
R. M. Nikonova, V. I. Lad'yanov, S. Sh. Rekhviashvili, A. V. Pskhu, “Thermal stability of $\rm C_{60}$ and $\rm C_{70}$ fullerites”, High Temperature, 59:2 (2021), 161–165
10.
A. V. Pskhu, “Nakhushev extremum principle for integro-differential operators”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 103–108;
2022
11.
S.Sh. Rekhviashvili, A. V. Pskhu, Z. Ch. Margushev, “Fractional oscillator radiation”, TECHNICAL PHYSICS LETTERS, 48:2 (2022), 35–38
2021
12.
A. A. Pskhu, “Nelokalnye po vremeni zadachi dlya uravneniya drobnoi diffuzii”, Materialy VI Mezhdunarodnoi nauchnoi konferentsii «Nelokalnye kraevye zadachi i rodstvennye problemy matematicheskoi biologii, informatiki i fiziki» (Nalchik, Kabardino-Balkarskaya Respublika, Rossiya, 05–09 dekabrya 2021 goda), Izdatelskaya tipografiya “Print Tsentr”, g. Nalchik, 2021, 161
13.
A. A. Pskhu, “Nelokalnaya po vremeni kraevaya zadacha dlya uravneniya drobnoi diffuzii”, Sbornik materialov II Mezhdunarodnoi nauchno-prakticheskoi konferentsii “SOVREMENNAYa MATEMATIKA I EE PRILOZhENIYa” (Groznyi, 24 oktyabrya 2021 goda), Chechenskii gosudarstvennyi pedagogicheskii universitet, Groznyi, 2021, 63–66
14.
Z. Nagoev, V. Narozhnov, A. Pskhu, S. Rekhviashvili, “Protective face shield effectiveness: mathematical modelling”, INFOSYS SCIENCE FOUNDATION SERIES IN MATHEMATICAL SCIENCES, Springer, 2021, 35–50
15.
A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavk. matem. zhurn., 23:3 (2021), 126–129
2020
16.
A.V. Pskhu, “Green Functions of the First Boundary-Value Problem for a Fractional Diffusion-Wave Equation in Multidimensional Domains.”, Mathematics, 8:464 (2020), 1–15 (to appear)
A.V. Pskhu, “Transmutations for Multi-Term Fractional Operators”, Kravchenko, Vladislav V. (ed.) et al., Trends in Mathematics, 2020, Transmutation operators and applications, 603–614
A.V. Pskhu, “Nakhushev extremum principle for a class of integro-differential operators”, Fractional Calculus and Applied Analysis, 23:6 (2020), 1712-1722
19.
A.V. Pskhu, “Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation”, Journal of Mathematical Sciences (United States), 250:5 (2020), 800–810
A.V. Pskhu, S.Sh. Rekhviashvili, A.M. Kidakoev, “Modelirovanie kolebanii balki s odnim zadelannymi i drugim svobodnym kontsom s primeneniem drobnogo integro-differentsirovaniya”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 20:3 (2020), 33-37
21.
A.V. Pskhu, S.Sh. Rekhviashvili, “Retarded Potentials in Fractional Electrodynamics”, Moscow University Phisics Bulletin, 75:4 (2020), 316–319
22.
A.V. Pskhu, S.Sh. Rekhviashvili, “Fractional Diffusion-Wave Equation with Application in Electrodynamics”, Mathematics, 8:11 (2020), 1–13 (2086)
L.M. Eneeva, A.V. Pskhu, S.Sh. Rekhviashvili, “Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory System”, Mathematics, 8:12 (2020), 1–7 (2122)
A.V. Pskhu, “The Stankovich Integral Transform and Its Applications”, Special Functions and Analysis of Differential Equations, v. 9, 1, eds. Agarwal, P. (Ed.), Agarwal, R. (Ed.), Ruzhansky, M. (Ed.), Boca Raton, 2020, 16
S.Sh. Rekhviashvili, A. V. Pskhu, Kidakoev A.M., “Modeling vibrations of a beam with one fixed and another free end using fractional integrodifferentiation”, Doklady AMAN, 20:3 (2020), 19–23
2019
26.
A.V. Pskhu, “Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics. Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 167, VINITI, Moscow, 2019, 52–61
27.
A.V. Pskhu, “Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative”, Electron. J. Differential Equations, 2019 (2019), 1-13
2018
28.
A.V. Pskhu, S.Sh. Rekhviashvili, “Analysis of Forced Oscillations of a Fractional Oscillator”, Technical Phisics Letters, 44:12 (2018), 1218–1221
2019
29.
A.V. Pskhu, S.Sh. Rekhviashvili, “New Method for Describing Damped Vibrations of a Beam with a Built-in End”, Technical Phisics, 64:9 (2019), 1237-1241
30.
A.V. Pskhu, S.Sh. Rekhviashvili, Praveen Agarwal, Shilpi Jain, “Application of the fractional oscillator model to describe damped vibrations”, Turkish Journal of Physics, 43:3 (2019), 236-242
S.Sh. Rekhviashvili, A.V. Pskhu, A. Potapov, T. Feng, V.V. Narozhnov, “Application of fractional calculus for impact oscillator modeling”, International Conference on Intelligent Computing, Automation and Systems, ICICAS 2019; (Chongqing; China; 6 December 2019 do 8 December 2019), Proceedings - 2019 International Conference on Intelligent Computing, Automation and Systems, 2019, 430–433
2020
32.
A. V. Pskhu, “On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation”, J. Math. Sci. (N. Y.), 250:5 (2020), 800–810
2018
33.
A.V. Pskhu, “On solution uniqueness of the Cauchy problem for a third-order partial differential equation with time-fractional derivative”, Proceedings Paper, 4th International Conference on Analysis and Applied Mathematics (ICAAM) (Mersin, TURKEY, SEP 06-09, 2018), AIP Conference Proceedings, 1997, 2018
2017
34.
A.V. Pskhu, “The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain”, Izv. Math., 81:6 (2017), 1212–1233
35.
A.V. Pskhu, “Solution of a multidimensional Abel integral equation of the second kind with partial fractional integrals”, Differential Equations, 53:9 (2017), 1160–1164
36.
A.V. Pskhu, “Fundamentalnoe reshenie uravneniya tretego poryadka s drobnoi proizvodnoi”, Uzbek Mathematical Journal, 2017, no. 4, 119-127
2016
37.
A.V. Pskhu, “Solution of a two-dimensional Abel integral equation of the second kind”, News of the Kabardin-Balkar scientific center of RAS, 2016, no. 6, 75–80
A.V. Pskhu, “On a Boundary Value Problem for a Fractional Partial Differential Equation in a Domain with Curvilinear Boundary”, Differential Equations, 51:8 (2015), 1072–1078
43.
A.V. Pskhu, “The Cauchy problem for the multi-time fractional diffusion equation”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta, 17(214):40, sentyabr 2015 (2015), 118–120
2014
44.
A.V. Pskhu, “On the Continuation of Solutions of a Fractional Partial Differential Equation”, Differential Equations, 50:1 (2014), 135-139
45.
A.V. Pskhu, “Kraevaya zadacha dlya uravneniya s chastnymi proizvodnymi drobnogo poryadka v oblasti s krivolineinoi granitsei”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 16:2 (2014), 58–63
2013
46.
A.V. Pskhu, “Ob obraschenii integralnogo preobrazovaniya B. Stankovicha”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 15:2 (2013), 64–67
47.
A.V. Pskhu, “Multi-time fractional diffusion equation”, European Physical Journal: Special Topic, 222:8 (2013), 1939–1950
A.V. Pskhu, Proceedings of the Seventh All-Russian Scientific Conference with international participation (3–6 June 2010). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2010, 248–251
A. A. Andreev, M. T. Dzhenaliev, A. N. Zarubin, A. I. Kozhanov, E. I. Moiseev, A. M. Nakhushev, V. A. Nakhusheva, E. N. Ogorodnikov, A. V. Pskhu, L. S. Pulkina, N. R. Radjabov, V. P. Radchenko, E. V. Radkevich, O. A. Repin, K. B. Sabitov, A. P. Soldatov, “In Memory of Anatoliy A. Kilbas”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 6–9
2009
56.
A.V. Pskhu, “The fundamental solution of a diffusion-wave equation of fractional order”, Izv. Math., 73:2 (2009), 351–392
A.V. Pskhu, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 153–156
A.V. Pskhu, “Diffuzionno-volnovoe uravnenie s operatorom Dzhrbashyana-Nersesyana”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 9:2 (2007), 62–66
2006
63.
A.V. Pskhu, Proceedings of the Third All-Russian Scientific Conference (29–31 May 2006). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2006, 187–190
A.V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, Moskva, 2005 , 199 pp.
2004
68.
A.V. Pskhu, “On the Theory of the Continual Integro-Differentiation Operator”, Differ. Equ., 40:1 (2004), 128–136
69.
A.V. Pskhu, Proceedings of the All-Russian Scientific Conference (26–28 May 2004). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2004, 180–182
A.V. Pskhu, “Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method”, Differ. Equ., 39:10 (2003), 1509–1513
72.
A.V. Pskhu, “Solution of the First Boundary Value Problem for a Fractional-Order Diffusion Equation”, Differ. Equ., 39:9 (2003), 1359–1363
73.
A.V. Pskhu, “Solution of a Boundary Value Problem for a Fractional Partial Differential Equation”, Differ. Equ., 39:8 (2003), 1150–1158
74.
A.V. Pskhu, “The Frankl Problem for a Hyperbolic-Parabolic Equation”, Differ. Equ., 39:1 (2003), 112–120
75.
A.V. Pskhu, “Uslovie tipa Tikhonova dlya diffuzionno-volnovogo uravneniya”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:2 (2003), 72–73
2002
76.
A.V. Pskhu, “Integralnoe preobrazovanie s funktsiei Raita v yadre”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:1 (2002), 35-47
A.V. Pskhu, “Inverse problem for fractional differential equation of order liable to determination”, Ill-Posed and Inverse Problems (International conference ill-posed and inverse problems, dedicated to prof. M.M. Lavrent’ev on the occasion of his 70th anniversary, Novosibirsk, 05-09 avgusta 2002 g.), Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 2002, 133–134
2001
79.
A.V. Pskhu, “Ob operatorakh tipa svertki i ikh prilozhenii k teorii operatora integro-differentsirovaniya kontinualnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 5:2 (2001), 49-55
80.
A.V. Pskhu, “Metod funktsii Grina dlya uravneniya diffuzii drobnogo poryadka”, Trudy instituta matematiki NAN Belarusi, 2001, 107–111 , Minsk
2000
81.
A.V. Pskhu, “On the solution of the Frankl problem”, Differ. Equ., 36:3 (2000), 474–476
A. V. Pskhu, “Solution of the Frankl problem for the Lavrentiev-Bitsadze equation”, News of the Kabardin-Balkar scientific center of RAS, 1999, no. 2, 31–37
1998
86.
A.V. Pskhu, “On the Frankl Problem for a Model Hyperbolic-Parabolic Equation”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 3:2 (1998), 40-44
2024
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