Lie symmetry analysis, conservation laws and analytic solutions of the time fractional Kolmogorov–Petrovskii–Piskunov equation
Tài liệu tham khảo
Over, 1986
Bluman, 1989
Ibragimov, 2006
Bluman, 2014, J. Eng. Math., 84, 87, 10.1007/s10665-012-9552-2
Tian, 2015, Chinese Ann. Math., 36B, 543, 10.1007/s11401-015-0908-6
Tian, 2017, Chinese J. Phys., 55, 1938, 10.1016/j.cjph.2017.08.015
Li, 2008, Z. Naturforsch., 63a, 763, 10.1515/zna-2008-1204
Cheng, 2015, Commun. Theor. Phys., 63, 549, 10.1088/0253-6102/63/5/549
Chen, 2012, Chin. Phys. Lett., 29, 070303, 10.1088/0256-307X/29/7/070303
Liu, 2016, Chin. J. Phys., 54, 718, 10.1016/j.cjph.2016.05.014
Wang, 2017, Z. Naturforsch, 72, 419, 10.1515/zna-2017-0057
Chen, 2017, Commun. Theor. Phys., 67, 595, 10.1088/0253-6102/67/6/595
Ren, 2016, Z. Naturforsch, 71a, 557, 10.1515/zna-2016-0078
Ren, 2015, Chin. J. Phys, 53, 080001
Podlubny, 1999
Oldham, 1974
Gazizov, 2007, USATU, 9, 125
Gazizov, 2009, Phys. Scr., T136, 014016, 10.1088/0031-8949/2009/T136/014016
Wang, 2014, Nonlinear Dyn., 80, 571, 10.1007/s11071-013-1150-y
Feng, 2016, Commun. Theor. Phys., 66, 321, 10.1088/0253-6102/66/3/321
Wang, 2016, Commun. Theor. Phys., 66, 35, 10.1088/0253-6102/66/1/035
Wang, 2016, EPL, 114, 20003, 10.1209/0295-5075/114/20003
Wang, 2017, J. Nonlinear Math. Phys., 24, 516, 10.1080/14029251.2017.1375688
Lukashchuk, 2015, Appl. Math. Comput., 43, 257
Sahadevan, 2012, J. Math. Anal. Appl., 7, 341, 10.1016/j.jmaa.2012.04.006
Noether, 1971, Transp. Theory Stat. Phys., 1, 186, 10.1080/00411457108231446
Atanackovic, 2009, Nonlinear Anal., 71, 1504, 10.1016/j.na.2008.12.043
Ibragimov, 2007, J. Math. Anal. Appl., 333, 311, 10.1016/j.jmaa.2006.10.078
Lukashchuk, 2015, Nonlinear Dyn., 80, 791, 10.1007/s11071-015-1906-7
Gazizov, 2015, Commun. Nonlinear Sci. Numer. Simul., 23, 153, 10.1016/j.cnsns.2014.11.010
Khaled, 2011, Appl. Math. Lett., 24, 1428, 10.1016/j.aml.2011.03.025
Jumarie, 2006, Comput. Math. Appl., 51, 1367, 10.1016/j.camwa.2006.02.001
Oldham, 1974
Khalid, 2018, Chaos Solitons Fract, 106, 304, 10.1016/j.chaos.2017.11.038
Tian, 2016, Proc. R. Soc. Lond. A, 472, 20160588, 10.1098/rspa.2016.0588
Wang, 2017, Appl. Math. Lett., 68, 40, 10.1016/j.aml.2016.12.009
Feng, 2017, Appl. Math. Lett., 65, 90, 10.1016/j.aml.2016.10.009
Wang, 2017, Comput. Math. Appl., 74, 556, 10.1016/j.camwa.2017.04.034
Tian, 2018, Commun. PureAppl. Anal., 173, 923, 10.3934/cpaa.2018046
Feng, 2018, Appl. Math. Lett., 78, 133, 10.1016/j.aml.2017.11.011
Wang, 2017, Appl. Math. Lett., 72, 58, 10.1016/j.aml.2017.04.009
Tian, 2018, Proc. Amer. Math. Soc., 146, 1713, 10.1090/proc/13917
Wang, 2017, Z. Naturforsch., 72, 269, 10.1515/zna-2016-0389
Tian, 2018, Appl. Math. Lett., 83, 65, 10.1016/j.aml.2018.03.019
Tu, 2016, Appl. Math. Comput., 275, 345, 10.1016/j.amc.2015.11.072
Tian, 2012, Appl. Math. Comput., 218, 7308, 10.1016/j.amc.2012.01.009
Feng, 2017, Z. Naturforsch. A, 72, 655, 10.1515/zna-2017-0117
Dong, 2018, Comput. Math. Appl., 75, 957, 10.1016/j.camwa.2017.10.037
Ma, 2015, Appl. Math. Lett., 50, 146, 10.1016/j.aml.2015.06.017
Tian, 2017, J. Differ. Equa., 262, 506, 10.1016/j.jde.2016.09.033
Tian, 2017, J. Phys. A, 50, 395204, 10.1088/1751-8121/aa825b
Tu, 2016, Taiwanese J. Math., 20, 823, 10.11650/tjm.20.2016.6850
Feng, 2017, Z. Naturforsch. A, 72, 425, 10.1515/zna-2017-0012
Tian, 2010, J. Math. Anal. Appl., 371, 585, 10.1016/j.jmaa.2010.05.070
Xu, 2016, Nonlinear Anal. RWA, 31, 388, 10.1016/j.nonrwa.2016.01.019
Tian, 2014, Stud. Appl. Math., 132, 212, 10.1111/sapm.12026
Tian, 2012, J. Phys. A, 45, 055203, 10.1088/1751-8113/45/5/055203
Tu, 2016, Comput.Math. Appl., 72, 2486, 10.1016/j.camwa.2016.09.003
Wang, 2016, Appl. Math. Comput., 283, 216, 10.1016/j.amc.2016.02.028
Kiryakov, 1994, Generalized fractional calculus and applications, vol.301
Udin, 2004