Композиция смешанного дробного интеграла и смешанной дробной производной Римана--Лиувилля одного порядка
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 34 (2005), pp. 16-24.

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A. S. Eremin. Композиция смешанного дробного интеграла и смешанной дробной производной Римана--Лиувилля одного порядка. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 34 (2005), pp. 16-24. http://geodesic.mathdoc.fr/item/VSGTU_2005_34_a2/

[1] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl

[2] Oldham K. B., Spanier J., The Fractional Calculus, Academic Press, New York-London, 1974 | MR | Zbl

[3] Podlubny I., “Fractional Differential Equations”, Mathematics is Sciences and Engineering, 198, Academic Press, San-Diego, 1999, 32–39 | MR

[4] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shk., M., 1995 | Zbl

[5] Nakhushev A. M., Elesenty drobnogo ischisleniya i ikh primenenie, KBNTs RAN, Nalchik, 2000

[6] Nakhusheva V. A., Nekotorye klassy differentsialnykh uravnenii matematicheskikh modelei nelokalnykh fizicheskikh protsessov, KBNTs RAN, Nalchik, 2002

[7] Metzler R., Klafter J., “The randomwalk's guide to anomalous diffusion: a fractional dynamics approac”, Phys. Reports, 339 (2000), 1–77 | DOI | MR | Zbl

[8] Sokolov I. M., Klafter J., Blumen A., “Fractional kinetics”, Physics Today, 55 (2002), 48–54 | DOI

[9] Kilbas A. A., Srivastava H. M., Trujillo J. J., “Fractional differential equations: An emergent field in applied and mathematical sciences”, Factorization, Singular Operators and Related Problems, Proceedings of the Conference in Honour of Professor Georgii Litvinchuk, eds. Samko, Stefan, Lebre, Anarino, Santos, Antonio, Kluwer, Dordrecht-Boston-London, 2003, 151–173 | DOI | MR | Zbl

[10] Love E. R., “Some integral equations involving hypergeometric functions”, Proc. Edinburgh Math. Soc., 15:3 (1967), 169–198 | DOI | MR | Zbl

[11] Saigo M., “A remark on integral operators involving the Gauss hypergeometric function”, Math. Rep. Kyushu Univ., 11:2 (1978), 135–143 | MR | Zbl

[12] Kilbas A. A., Repin O. A., “Nelokalnaya zadacha dlya uravneniya smeshannogo tipa s chastnoi proizvodnoi Rimana–Liuvillya i operatorami obobschennogo drobnogo integrirovaniya v kraevom uslovii”, Trudy Instituta Matematiki BAN, 12:2 (2004), 75–81

[13] Repin O. A., Kraevye zadachi so smescheniem dlya uravnenii giperbolicheskogo i smeshannogo tipov, Izd-vo Saratovsk. un-ta (Samarsk. filial), Samara, 1992 | MR

[14] Andreev A. A., “Ob odnom obobschenii operatorov drobnogo integrodifferentsirovaniya i ego prilozheniyakh”, Integralnye uravneniya i kraevye zadachi matematicheskoi fiziki, Mater. Vsesoyuznoi konf., Vladivostok, 1990, 91

[15] Andreev A. A., Ogorodnikov E. N., “Matrichnye integrodifferentsialnye operatory i ikh primenenie”, Vestn. Sam. gos. tekhn. un-ta. Ser. fiz.-mat. nauki, 7 (1999), 27–37 | DOI | MR

[16] Eremin A. S., Andreev A. A., “Kraevaya zadacha dlya uravneniya s matrichnym integrodifferentsialnym operatorom”, Vestn. Sam. gos. tekhn. un-ta. Ser. fiz.-mat. nauki, 26 (2004), 5–10 | DOI | MR

[17] Vasilache S., “Asupra unei ecuatii integrale de tip Abel cu doua variabile”, Comun. Acad. R. P. Romane, 3:3–4 (1953), 109–113 | MR

[18] Smirnov V. I., Kurs vysshei matematiki, T. 5, OGIZ, M., 1947 | MR | Zbl

[19] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1968 | MR | Zbl

[20] Ter-Krikorov A. M., Shabunin M. I., Kurs matematicheskogo analiza, Ucheb. pocobie dlya vuzov, Nauka, M., 1988 | MR | Zbl