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.V. Pskhu, “The fundamental solution of a diffusion-wave equation of fractional order”, Izv. Math., 73:2 (2009), 351–392
2.
A.V. Pskhu, “Initial-value problem for a linear ordinary differential equation of noninteger order”, Sb. Math., 202:4 (2011), 571–582
3.
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
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
A.V. Pskhu, “On the Theory of the Continual Integro-Differentiation Operator”, Differ. Equ., 40:1 (2004), 128–136
6.
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
7.
A.V. Pskhu, “On the real zeros of functions of Mittag-Leffler type”, Math. Notes, 77:4 (2005), 546–552
8.
A.V. Pskhu, “Solution of the First Boundary Value Problem for a Fractional-Order Diffusion Equation”, Differ. Equ., 39:9 (2003), 1359–1363
9.
A.V. Pskhu, “Solution of a Boundary Value Problem for a Fractional Partial Differential Equation”, Differ. Equ., 39:8 (2003), 1150–1158
10.
A.V. Pskhu, S.Sh. Rekhviashvili, “Analysis of Forced Oscillations of a Fractional Oscillator”, Technical Phisics Letters, 44:12 (2018), 1218–1221
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
14.
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
15.
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, S.Sh. Rekhviashvili, “New Method for Describing Damped Vibrations of a Beam with a Built-in End”, Technical Phisics, 64:9 (2019), 1237-1241
17.
A.V. Pskhu, “Multi-time fractional diffusion equation”, European Physical Journal: Special Topic, 222:8 (2013), 1939–1950
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
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, “On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation”, J. Math. Sci. (N. Y.), 250:5 (2020), 800–810
22.
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
23.
A.V. Pskhu, “On the Continuation of Solutions of a Fractional Partial Differential Equation”, Differential Equations, 50:1 (2014), 135-139
24.
A.V. Pskhu, “Boundary Value Problem for a Multidimensional Fractional Partial Differential Equation”, Differential Equations, 47:3 (2011), 382-392
25.
C. Sh. Rekhviashvili, A. A. Pskhu, “Drobnyi ostsillyator s eksponentsialno-stepennoi funktsiei pamyati”, Pisma v Zhurnal tekhnicheskoi fiziki, 48:7 (2022), 33-35
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
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
28.
A.V. Pskhu, “The Frankl Problem for a Hyperbolic-Parabolic Equation”, Differ. Equ., 39:1 (2003), 112–120
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
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
32.
A. A. Pskhu, “D'alembert formula for diffusion-wave equation”, Lobachevskii Journal of Mathematics, 44:2 (2023), 644–652
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
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, S.Sh. Rekhviashvili, “Retarded Potentials in Fractional Electrodynamics”, Moscow University Phisics Bulletin, 75:4 (2020), 316–319
36.
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
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
38.
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
39.
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
40.
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
41.
A.V. Pskhu, “On the solution of the Frankl problem”, Differ. Equ., 36:3 (2000), 474–476
42.
A. A. Pskhu, “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s drobnoi proizvodnoi Liuvillya”, Differentsialnye uravneniya, 58:8 (2022), 1053-1061
43.
S.Sh. Rekhviashvili, A. V. Pskhu, Z. Ch. Margushev, “Fractional oscillator radiation”, TECHNICAL PHYSICS LETTERS, 48:2 (2022), 35–38
44.
S.Sh. Rekhviashvili, A. V. Pskhu, Z. Ch. Margushev, “Fractional oscillator radiation”, TECHNICAL PHYSICS LETTERS, 48:2 (2022), 35–38
45.
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
46.
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
47.
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
48.
A.V. Pskhu, “Nakhushev extremum principle for a class of integro-differential operators”, Fractional Calculus and Applied Analysis, 23:6 (2020), 1712-1722
49.
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
50.
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
51.
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
52.
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
53.
A.V. Pskhu, “Fundamentalnoe reshenie uravneniya tretego poryadka s drobnoi proizvodnoi”, Uzbek Mathematical Journal, 2017, no. 4, 119-127
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
57.
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
58.
A.V. Pskhu, “Ob obraschenii integralnogo preobrazovaniya B. Stankovicha”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 15:2 (2013), 64–67
59.
A.V. Pskhu, “On Solution Representation of Generalized Abel Integral Equation”, Journal of Mathematics, 2013 (2013), 1–5 , 5 pp., Article ID 106251
A.V. Pskhu, “Uslovie tipa Tikhonova dlya diffuzionno-volnovogo uravneniya”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:2 (2003), 72–73
73.
A.V. Pskhu, “Integralnoe preobrazovanie s funktsiei Raita v yadre”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:1 (2002), 35-47
74.
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
75.
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
76.
A.V. Pskhu, “Metod funktsii Grina dlya uravneniya diffuzii drobnogo poryadka”, Trudy instituta matematiki NAN Belarusi, 2001, 107–111 , Minsk
A.V. Pskhu, “On the Frankl Problem for a Model Hyperbolic-Parabolic Equation”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 3:2 (1998), 40-44
81.
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;
82.
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
83.
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
84.
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
85.
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
86.
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
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