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@article{MZM_2019_106_6_a6,
author = {L. Kh. Gadzova},
title = {Nonlocal {Boundary-Value} {Problem} for a {Linear} {Ordinary} {Differential} {Equation} with {Fractional} {Discretely} {Distributed} {Differentiation} {Operator}},
journal = {Matemati\v{c}eskie zametki},
pages = {860--865},
publisher = {mathdoc},
volume = {106},
number = {6},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a6/}
}
TY - JOUR AU - L. Kh. Gadzova TI - Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator JO - Matematičeskie zametki PY - 2019 SP - 860 EP - 865 VL - 106 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a6/ LA - ru ID - MZM_2019_106_6_a6 ER -
%0 Journal Article %A L. Kh. Gadzova %T Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator %J Matematičeskie zametki %D 2019 %P 860-865 %V 106 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a6/ %G ru %F MZM_2019_106_6_a6
L. Kh. Gadzova. Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 860-865. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a6/
[1] A. M. Nakhushev, Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003 | Zbl
[2] J. H. Barrett, “Differential equations of non-integer order”, Canadian J. Math., 6:4 (1954), 529–541 | DOI | MR
[3] M. M. Dzhrbashyan, A. B. Nersesyan, “Drobnye proizvodnye i zadacha Koshi dlya differentsialnykh uravnenii drobnogo poryadka”, Izv. AN Armyanskoi SSR. Matem., 3:1 (1968), 3–29 | MR
[4] M. M. Dzhrbashyan, “Kraevaya zadacha dlya differentsialnogo operatora drobnogo poryadka tipa Shturma–Liuvillya”, Izv. AN Armyanskoi SSR. Matem., 5:2 (1970), 71–96 | MR
[5] M. M. Dzhrbashyan, Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966 | MR | Zbl
[6] S. G. Samko, A. A. Kilbas, O. I. Marichev, Integraly i proizvodnye drobnogo poryadka i ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl
[7] A. M. Nakhushev, R. B. Tkhakakhov, “O kontinualnykh analogakh reologicheskikh uravnenii sostoyaniya i logisticheskom zakone izmeneniya vyazkouprugikh svoistv polimera”, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. AN, 1:2 (1995), 6–11
[8] I. Podlubny, Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Academic Press, San Diego, CA, 1999 | MR
[9] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006 | MR
[10] V. V. Uchaikin, Metod drobnykh proizvodnykh, Izd-vo “Artishok”, Ulyanovsk, 2008
[11] A. V. Pskhu, “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s operatorom drobnogo diskretno raspredelennogo differentsirovaniya”, Differents. uravneniya, 52:12 (2016), 1682–1694 | DOI
[12] A. V. Pskhu, “Uravnenie drobnoi diffuzii s operatorom diskretno raspredelennogo differentsirovaniya”, Sib. elektron. matem. izv., 13 (2016), 1078–1098 | DOI | MR | Zbl
[13] M. Caputo, “Diffusion with space memory modelled with distributed order space fractional differential equations”, Ann. of Geophys., 46:2 (2003), 223–234
[14] K. Diethelm, N. J. Ford, “Numerical analysis for distributed-order differential equations”, J. Comput. Appl. Math., 225:1 (2009), 96–104 | DOI | MR
[15] Z. Jiao, Y. Q. Chen, I. Podlubny, Distributed-Order Dynamic Systems. Stability, Simulation, Applications and Perspectives, Springer, London, 2012 | MR
[16] I. Ozturk, “On the theory of fractional differential equations”, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. AN, 3:2 (1998), 35–39
[17] A. V. Pskhu, “Nachalnaya zadacha dlya lineinogo obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Matem. sb., 202:4 (2011), 111–122 | DOI | MR | Zbl
[18] L. Kh. Gadzova, “Obobschennaya zadacha Dirikhle dlya lineinogo differentsialnogo uravneniya drobnogo poryadka s postoyannymi koeffitsientami”, Differents. uravneniya, 50:1 (2014), 121–125 | DOI
[19] L. Kh. Gadzova, “Zadachi Dirikhle i Neimana dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka s postoyannymi koeffitsientami”, Differents. uravneniya, 51:12 (2015), 1580–1586 | DOI
[20] L. Kh. Gadzova, “Zadacha Neimana dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Vladikavk. matem. zhurn., 18:3 (2016), 22–30 | MR
[21] L. Kh. Gadzova, “Kraevaya zadacha dlya lineinogo obyknovennogo differentsialnogo uravneniya s operatorom drobnogo diskretno raspredelennogo differentsirovaniya”, Differents. uravneniya, 54:2 (2018), 180–186 | DOI
[22] L. Kh. Gadzova, “Ob asimptotike fundamentalnogo resheniya obyknovennogo differentsialnogo uravneniya drobnogo poryadka s postoyannymi koeffitsientami”, Vestn. KRAUNTs. Fiz.-matem. nauki, 2016, no. 2 (13), 7–11
[23] L. Kh. Gadzova, “Kraevaya zadacha so smescheniem dlya lineinogo obyknovennogo differentsialnogo uravneniya s operatorom diskretno raspredelennogo differentsirovaniya”, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 149, VINITI RAN, M., 2018, 25–30 | MR
[24] F. T. Bogatyreva, “Nelokalnaya kraevaya zadacha dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka s operatorom Dzhrbashyana–Nersesyana”, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. AN, 16:2 (2014), 28–33
[25] E. M. Wright, “On the coefficients of power series having exponential singularities”, J. London Math. Soc., 8:1 (1933), 71–79 | DOI | MR