Successive Approximation Technique in the Study of a Nonlinear Fractional Boundary Value Problem
Keyword(s):
We studied one essentially nonlinear two–point boundary value problem for a system of fractional differential equations. An original parametrization technique and a dichotomy-type approach led to investigation of solutions of two “model”-type fractional boundary value problems, containing some artificially introduced parameters. The approximate solutions of these problems were constructed analytically, while the numerical values of the parameters were determined as solutions of the so-called “bifurcation” equations.
2014 ◽
Vol 19
(8)
◽
pp. 2820-2827
◽
2018 ◽
Vol 12
(4)
◽
pp. 727-734
◽
2010 ◽
Vol 59
(3)
◽
pp. 1345-1351
◽
2016 ◽
Vol 54
(1-2)
◽
pp. 81-93