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

DOI10.1515/DEMA-2019-0017zbMath1423.26019OpenAlexW2936985805MaRDI QIDQ2002183

Fuat Usta, Mehmet Zeki Sarikaya

Publication date: 11 July 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0017

zbMATH Keywords

global existenceretarded integral inequalitiesconformable fractional Liénard differential equationconformable fractional Van der Pol differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Explicit solutions, first integrals of ordinary differential equations (34A05) Convexity of real functions in one variable, generalizations (26A51)

Related Items (3)

Analytical and numerical approaches to nerve impulse model of fractional‐order ⋮ Novel comparison of numerical and analytical methods for fractional Burger-Fisher equation ⋮ Unnamed Item

Cites Work

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• On conformable fractional calculus
• On retarded integral inequalities and their applications
• A retarded Gronwall-like inequality and its applications
• On some new inequalities related to certain inequalities in the theory of differential equations
• New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense
• A New Approach to Generalized Fractional Derivatives

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