Existence of solutions of periodic‐type boundary value problems for multi‐term fractional differential equations | Zendy

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Existence of solutions of periodic‐type boundary value problems for multi‐term fractional differential equations

Author(s) -

Liu Yuji

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2746

Subject(s) - mathematics , fixed point theorem , term (time) , boundary value problem , type (biology) , mathematical analysis , nonlinear system , differential equation , ecology , physics , quantum mechanics , biology

Results on the existence of solutions of a periodic‐type boundary value problem of singular multi‐term fractional differential equations with the nonlinearity depending onD0 +α x are established and being singular at t = 0 and t = 1. The analysis relies on the well‐known fixed‐point theorems. An example is given to illustrate the efficiency of the main theorems. Copyright © 2013 John Wiley & Sons, Ltd.

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