Weakly nonlinear boundary-value problem for a two-term sequential fractional differential equation
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 combinat...
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| Date: | 2026 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9680 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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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| DOI: | 10.3842/umzh.v78i7-8.9680 |