Periodic boundary value problems for higher-order fractional differential systems

Michal Fečkan; Kateryna Marynets; Jin Rong Wang

doi:10.1002/mma.5601

Periodic boundary value problems for higher-order fractional differential systems

Michal Fečkan, Kateryna Marynets, Jin Rong Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

19 Citations (Scopus)

Abstract

Approximation of solutions of fractional differential systems (FDS) of higher orders is studied for periodic boundary value problem (PBVP). We propose a numerical-analytic technique to construct a sequence of functions convergent to the limit function, which is a solution of the given PBVP, if the corresponding determined equation has a root. We also study scalar fractional differential equations (FDE) with asymptotically constant nonlinearities leading to Landesman-Lazer–type conditions.

Original language	English
Pages (from-to)	3616-3632
Number of pages	17
Journal	Mathematical Methods in the Applied Sciences
Volume	42
Issue number	10
DOIs	https://doi.org/10.1002/mma.5601
Publication status	Published - 15 Jul 2019
Externally published	Yes

Keywords

Bernoulli polynomials
fractional differential systems
Landesman-Lazer–type conditions
periodic boundary value problems

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10.1002/mma.5601

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AU - Marynets, Kateryna

AU - Wang, Jin Rong

PY - 2019/7/15

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N2 - Approximation of solutions of fractional differential systems (FDS) of higher orders is studied for periodic boundary value problem (PBVP). We propose a numerical-analytic technique to construct a sequence of functions convergent to the limit function, which is a solution of the given PBVP, if the corresponding determined equation has a root. We also study scalar fractional differential equations (FDE) with asymptotically constant nonlinearities leading to Landesman-Lazer–type conditions.

AB - Approximation of solutions of fractional differential systems (FDS) of higher orders is studied for periodic boundary value problem (PBVP). We propose a numerical-analytic technique to construct a sequence of functions convergent to the limit function, which is a solution of the given PBVP, if the corresponding determined equation has a root. We also study scalar fractional differential equations (FDE) with asymptotically constant nonlinearities leading to Landesman-Lazer–type conditions.

KW - Bernoulli polynomials

KW - fractional differential systems

KW - Landesman-Lazer–type conditions

KW - periodic boundary value problems

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DO - 10.1002/mma.5601

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SP - 3616

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JO - Mathematical Methods in the Applied Sciences

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ER -

Periodic boundary value problems for higher-order fractional differential systems

Abstract

Keywords

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