Persons: Pskhu, Arsen Vladimirovich

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Pskhu, Arsen Vladimirovich

Statistics
in MathSciNet:	22 (22)
in zbMATH:	26 (25)
in Web of Science:	28 (28)
in Scopus:	35 (35)

Main Scientist Researcher

Doctor of physico-mathematical sciences (2007)

Speciality:

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

https://www.mathnet.ru/eng/person20245

List of publications on Google Scholar

https://zbmath.org/authors/ai:pskhu.arsen-vladimirovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/674447

https://elibrary.ru/author_items.asp?spin=8062-8037

ISTINA

https://istina.msu.ru/workers/8505946

https://orcid.org/0000-0002-0506-3516

https://publons.com/researcher/1377856/arsen-pskhu

https://www.webofscience.com/wos/author/record/C-1819-2014

https://www.scopus.com/authid/detail.url?authorId=6602625208

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	S. Sh. Rekhviashvili, A. V. Pskhu, “Comparative analysis of classical and fractional equations of motion”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 50:11 (2024), 27–29

2023
2.	A. V. Pskhu, “D'alembert formula for diffusion-wave equation”, Lobachevskii Journal of Mathematics, 44:2 (2023), 644–652	3 ^[x]

2022
3.	A. V. Pskhu, “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s drobnoi proizvodnoi Liuvillya”, Differentsialnye uravneniya, 58:8 (2022), 1053-1061
4.	A. V. 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	1 ^[x]
5.	C. Sh. Rekhviashvili, A. V. Pskhu, “Drobnyi ostsillyator s eksponentsialno-stepennoi funktsiei pamyati”, Pisma v Zhurnal tekhnicheskoi fiziki, 48:7 (2022), 33-35	5 ^[x]
6.	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	3 ^[x]
8.	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	4 ^[x]
9.	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. V. 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. V. 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

2020
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)	10 ^[x]
16.	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	4 ^[x]
17.	A.V. Pskhu, “Nakhushev extremum principle for a class of integro-differential operators”, Fractional Calculus and Applied Analysis, 23:6 (2020), 1712-1722
18.	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	6 ^[x]
19.	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	1 ^[x]
20.	A.V. Pskhu, S.Sh. Rekhviashvili, “Retarded Potentials in Fractional Electrodynamics”, Moscow University Phisics Bulletin, 75:4 (2020), 316–319
21.	A.V. Pskhu, S.Sh. Rekhviashvili, “Fractional Diffusion-Wave Equation with Application in Electrodynamics”, Mathematics, 8:11 (2020), 1–13 (2086)	11 ^[x]
22.	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)	7 ^[x]
23.	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	62 ^[x]
24.	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
25.	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
26.	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
27.	A.V. Pskhu, S.Sh. Rekhviashvili, “Analysis of Forced Oscillations of a Fractional Oscillator”, Technical Phisics Letters, 44:12 (2018), 1218–1221

2019
28.	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
29.	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	66 ^[x]
30.	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
31.	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
32.	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
33.	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
34.	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
35.	A.V. Pskhu, “Fundamentalnoe reshenie uravneniya tretego poryadka s drobnoi proizvodnoi”, Uzbek Mathematical Journal, 2017, no. 4, 119-127

2016
36.	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
37.	A.V. Pskhu, “Fractional diffusion equation with discretely distributed differentiation operator”, Sib. Èlektron. Mat. Izv., 13 (2016), 1078–1098
38.	A.V. Pskhu, “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s operatorom drob-nogo diskretno raspredelennogo differentsirovaniya”, Differentsialnye uravneniya, 52:12 (2016), 1682–1694	14 ^[x]

2015
39.	A.V. Pskhu, “Pervaya kraevaya zadacha dlya uravneniya drobnoi diffuzii v netsilindricheskoi oblasti”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 17:1 (2015), 27–33
40.	A.V. Pskhu, “Formula D’Alambera dlya drobnogo diffuzionno-volnovogo uravneniya”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 17:4 (2015), 61–66
41.	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
42.	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
43.	A.V. Pskhu, “On the Continuation of Solutions of a Fractional Partial Differential Equation”, Differential Equations, 50:1 (2014), 135-139
44.	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
45.	A.V. Pskhu, “Ob obraschenii integralnogo preobrazovaniya B. Stankovicha”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 15:2 (2013), 64–67
46.	A.V. Pskhu, “Multi-time fractional diffusion equation”, European Physical Journal: Special Topic, 222:8 (2013), 1939–1950	8 ^[x]
47.	A.V. Pskhu, “On Solution Representation of Generalized Abel Integral Equation”, Journal of Mathematics, 2013 (2013), 1–5 , 5 pp., Article ID 106251

2012
48.	A.V. Pskhu, “O prodolzhenii reshenii differentsialnogo uravneniya drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 14:2 (2012), 23–26

2011
49.	A.V. Pskhu, “Initial-value problem for a linear ordinary differential equation of noninteger order”, Sb. Math., 202:4 (2011), 571–582
50.	A.V. Pskhu, “Boundary Value Problem for a Multidimensional Fractional Partial Differential Equation”, Differential Equations, 47:3 (2011), 382-392
51.	A.V. Pskhu, “Zadacha Koshi dlya lineinogo obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 13:1 (2011), 107–108

2010
52.	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
53.	A.V. Pskhu, “Zadacha Koshi dlya uravneniya diffuzii s operatorom drobnogo differentsirovaniya diskretno-raspredelennogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 12:1 (2010), 69–72

2009
54.	A.V. Pskhu, “The fundamental solution of a diffusion-wave equation of fractional order”, Izv. Math., 73:2 (2009), 351–392
55.	A.V. Pskhu, “Kraevaya zadacha dlya differentsialnogo uravneniya drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 11:2 (2009), 46–48
56.	A.V. Pskhu, “K teorii zadachi Koshi dlya lineinogo obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 11:1 (2009), 61–65

2008
57.	A.V. Pskhu, “Kraevye zadachi dlya differentsialnogo uravneniya peremennogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 10:1 (2008), 54–58

2007
58.	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
59.	A.V. Pskhu, “Fundamentalnoe reshenie obyknovennogo differentsialnogo uravneniya kontinualnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 9:1 (2007), 73–78
60.	A.V. Pskhu, “Diffuzionno-volnovoe uravnenie s operatorom Dzhrbashyana-Nersesyana”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 9:2 (2007), 62–66

2006
61.	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
62.	A.V. Pskhu, “Kraevaya zadacha dlya mnogomernogo differentsialnogo uravneniya drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 8:2 (2006), 57–64

2005
63.	A.V. Pskhu, “On the real zeros of functions of Mittag-Leffler type”, Math. Notes, 77:4 (2005), 546–552
64.	A.V. Pskhu, “Zadacha Koshi dlya differentsialnogo uravneniya kontinualnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 7:2 (2005), 41–45
65.	A.V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, Moskva, 2005 , 199 pp.

2004
66.	A.V. Pskhu, “On the Theory of the Continual Integro-Differentiation Operator”, Differ. Equ., 40:1 (2004), 128–136
67.	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
68.	A.V. Pskhu, “Uravnenie diffuzii kontinualnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 7:1 (2004), 79–83

2003
69.	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
70.	A.V. Pskhu, “Solution of the First Boundary Value Problem for a Fractional-Order Diffusion Equation”, Differ. Equ., 39:9 (2003), 1359–1363
71.	A.V. Pskhu, “Solution of a Boundary Value Problem for a Fractional Partial Differential Equation”, Differ. Equ., 39:8 (2003), 1150–1158
72.	A.V. Pskhu, “The Frankl Problem for a Hyperbolic-Parabolic Equation”, Differ. Equ., 39:1 (2003), 112–120
73.	A.V. Pskhu, “Uslovie tipa Tikhonova dlya diffuzionno-volnovogo uravneniya”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:2 (2003), 72–73

2002
74.	A.V. Pskhu, “Integralnoe preobrazovanie s funktsiei Raita v yadre”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 6:1 (2002), 35-47
75.	A.V. Pskhu, “Kraevaya zadacha dlya differentsialnogo uravneniya s chastnymi proizvodnymi drobnogo poryadka”, Izvestiya Kabardino-Balkarskogo nauchnogo tsentra RAN, 2002, no. 1(8), 76-78	3 ^[x]
76.	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
77.	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
78.	A.V. Pskhu, “Metod funktsii Grina dlya uravneniya diffuzii drobnogo poryadka”, Trudy instituta matematiki NAN Belarusi, 2001, 107–111 , Minsk

2000
79.	A.V. Pskhu, “On the solution of the Frankl problem”, Differ. Equ., 36:3 (2000), 474–476
80.	A.V. Pskhu, “Reshenie kraevoi zadachi dlya differentsialnogo uravneniya s chastnymi proizvodnymi drobnogo poryadka”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 5 (2000), 45–53

1999
81.	A.V. Pskhu, “Zadacha Franklya dlya odnogo giperbolo-parabolicheskogo uravneniya”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 4:1 (1999), 26-30
82.	A.V. Pskhu, “Reshenie zadachi Franklya dlya uravneniya Lavrenteva-Bitsadze”, Izvestiya Kabardino-Balkarskogo nauchnogo tsentra RAN, 1999, no. 3, 34-37
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

1998
84.	A.V. Pskhu, “On the Frankl Problem for a Model Hyperbolic-Parabolic Equation”, Doklady Adygskoi (Cherkesskoi) mezhdunarodnoi akademii nauk, 3:2 (1998), 40-44

Presentations in Math-Net.Ru

1.	Order determination problems for diffusion-wave equations with Dzhrbashyan-Nersesyan operators A. V. Pskhu International Scientific Conference «Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis - 2025 (OTHA-2025)» August 26, 2025 14:45

Organisations