Fredholm boundary-value problem for the two-term sequential fractional differential equation
DOI:
https://doi.org/10.3842/umzh.v77i1.8611Keywords:
boundary-value problem, sequential fractional differential equation, Caputo derivative, Moore-Penrose pseudo-inverse matrixAbstract
UDC 517.9
We establish necessary and sufficient conditions for the solvability and the general form of the solution to the linear boundary-value problem for the two-term sequential differential equation. The following two cases are considered: 1) the sequential derivative is a combination of two fractional Caputo derivatives; 2) the sequential derivative is a combination of the ordinary derivative and the Caputo fractional derivative.
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