Voir la notice de l'article provenant de la source Math-Net.Ru
@article{INTO_2018_149_a2, author = {L. H. Gadzova}, title = {Boundary-Value {Problem} with {Shift} for a {Linear} {Ordinary} {Differential} {Equation} with the {Operator} of {Discretely} {Distributed} {Differentiation}}, journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory}, pages = {25--30}, publisher = {mathdoc}, volume = {149}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/} }
TY - JOUR AU - L. H. Gadzova TI - Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2018 SP - 25 EP - 30 VL - 149 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/ LA - ru ID - INTO_2018_149_a2 ER -
%0 Journal Article %A L. H. Gadzova %T Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2018 %P 25-30 %V 149 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/ %G ru %F INTO_2018_149_a2
L. H. Gadzova. Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 25-30. http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/
[1] Bogatyreva F. T., “Kraevaya zadacha so smescheniem dlya obyknovennogo differentsialnogo uravneniya s operatorom drobnogo differentsirovaniya Dzhrbashyana—Nersesyana”, Differ. uravn., 50:2 (2014), 160–166 | DOI | MR | Zbl
[2] Gadzova L. Kh., “Zadacha Dirikhle dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. Akad. nauk, 15:2 (2013), 36–39
[3] Gadzova L. Kh., “Zadachi Dirikhle i Neimana dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka s postoyannymi koeffitsientami”, Differ. uravn., 51:12 (2015), 1580–1586 | DOI | MR | Zbl
[4] Gadzova L. Kh., “Zadacha Neimana dlya obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Vladikavkaz. mat. zh., 18:3 (2016), 22–30 | MR
[5] Gadzova L. Kh., “Nelokalnaya kraevaya zadacha dlya obyknovennogo differentsialnogo uravneniya s operatorom diskretno raspredelennogo differentsirovaniya”, Izv. Kabardino-Balkarsk. nauch. tsentra RAN, 75:1 (2017), 12–18
[6] Dzhrbashyan M. M., Nersesyan A. B., “Drobnye proizvodnye i zadacha Koshi dlya differentsialnykh uravnenii drobnogo poryadka”, Izv. AN Arm. SSR. Ser. mat., 3:1 (1968), 3–28 | MR
[7] Dzhrbashyan M. M., “Kraevaya zadacha dlya differentsialnogo operatora drobnogo poryadka tipa Shturma—Liuvillya”, Izv. AN Arm. SSR, 5:2 (1970), 71–96 | Zbl
[8] Nakhushev A. M., Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003
[9] Nakhushev A. M., Tkhakakhov R. B., “O kontinualnykh analogakh reologicheskikh uravnenii sostoyaniya i logisticheskom zakone izmeneniya vyazkouprugikh svoistv polimera”, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. Akad. nauk, 1:2 (1995), 6–11
[10] Pskhu A. V., Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005
[11] Pskhu A. V., “Nachalnaya zadacha dlya lineinogo obyknovennogo differentsialnogo uravneniya drobnogo poryadka”, Mat. sb., 202:4 (2011), 111–122 | DOI | MR | Zbl
[12] Pskhu A. V., “Kraevaya zadacha dlya uravneniya v chastnykh proizvodnykh pervogo poryadka s operatorom drobnogo diskretno raspredelennogo differentsirovaniya”, Differ. uravn., 52:12 (2016), 1682–1694 | DOI | MR | Zbl
[13] Pskhu A. V., “Uravnenie drobnoi diffuzii s operatorom diskretno raspredelennogo differentsirovaniya”, Sib. Electr. Math. Rep., 13 (2016), 1078–1098 | MR | Zbl
[14] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987
[15] Uchaikin V. V., Metod drobnykh proizvodnykh, Artishok, Ulyanovsk, 2008
[16] Alikhanov A., “Numerical methods of solutions of boundary-value problems for the multi-term variable-distributed order diffusion equation”, Appl. Math. Comput., 268:1 (2015), 529–541 | MR
[17] Barrett J. H., “Differential equations of non-integer order”, Can. J. Math., 6:4 (1954), 529–541 | DOI | MR | Zbl
[18] Gongsheng Li, Chunlong Sun, Xianzheng Jia, Dianhu Du., “Numerical solution to the multi-term time fractional diffusion equation in a finite domain”, Numer. Math. Theory Meth. Appl., 9:3 (2016), 337–357 | DOI | MR | Zbl
[19] Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and applications of fractional differential equations, Elsevier, Amsterdam | MR | Zbl
[20] Podlubny I., Fractional differential equations, Academic Press, 1999 | MR | Zbl
[21] Wright E. M., “On the coefficients of power series having exponential singularities”, J. London Math. Soc., 8:29 (1933), 71–79 | DOI | MR | Zbl