Open AccessAnalysis of some Katugampola fractional differential equations with fractional boundary conditions
Author(s) -
Barbara Łupińska,
Ewa Schmeidel
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021359
Subject(s) - fractional calculus , mathematics , boundary value problem , mathematical analysis , type (biology) , boundary (topology) , work (physics) , class (philosophy) , lyapunov function , differential equation , nonlinear system , physics , computer science , ecology , quantum mechanics , artificial intelligence , biology , thermodynamics
In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.