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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.