The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Sciendo

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several practical properties. These inequalities generalize some famous integral inequalities which provide explicit bounds on unknown functions. The results provided here had been implemented to the global existence of solutions to the conformable fractional differential equations with time delay.

Açıklama

WOS: 000470036300001

Anahtar Kelimeler

global existence, retarded integral inequalities, conformable fractional Van der Pol differential equation, conformable fractional Lienard differential equation

Kaynak

Demonstratio Mathematica

WoS Q DeÄŸeri

N/A

Scopus Q DeÄŸeri

Cilt

52

Sayı

1

Künye