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A Lyapunov‐type inequality with the Katugampola fractional derivative
Author(s) -
Łupińska Barbara,
Odzijewicz Tatiana
Publication year - 2018
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.4782
Subject(s) - mathematics , fractional calculus , lyapunov function , mathematical analysis , derivative (finance) , type (biology) , boundary value problem , order (exchange) , gronwall's inequality , inequality , nonlinear system , ecology , physics , finance , quantum mechanics , financial economics , economics , biology
In this work we consider the higher order fractional differential equation with derivative defined in the sense of Katugampola. We present some equivalent integral form of the considered boundary value problem and using properties of an appropriate Green function and prove fractional counterpart of the Lyapunov inequality.