Analysis of some Katugampola fractional differential equations with fractional boundary conditions | Zendy

Barbara Łupińska | Zendy; Ewa Schmeidel | Zendy

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Analysis 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.

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