Weakly nonlinear boundary-value problem for a two-term sequential fractional differential equation
DOI:
https://doi.org/10.3842/umzh.v78i7-8.9680Keywords:
boundary-value problem, fractional differential equation, sequential derivative, Caputo derivative, Moore-Penrose pseudo-inverse matrixAbstract
UDC 517.927, 517.23
We establish the solvability conditions and propose an algorithm for the construction of solution of a weakly nonlinear boundary-value problem for the two-term differential equation with sequential Caputo derivative. A special case in which the sequential derivative is a combination of the ordinary derivative and the Caputo fractional derivative is analyzed.
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