Periodic boundary value problems for higher-order fractional differential systems

Journal article (2019)

Authors

Michal Fečkan Comenius University, Mathematical Institute of Slovak Academy of Sciences

K. Marynets Uzhhorod National University

J. Wang Guizhou University

Affiliation

External organisation

Bernoulli polynomials Fractional differential systems Landesman-Lazer–type conditions Periodic boundary value problems

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Published Date

15-07-2019

Language

English

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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.