Oscillatory Properties of a Certain Class of Mixed Fractional Differential Equations

Authors

G. E. Chatzarakis, School of Pedagogical and Technological Education (ASPETE), Department of Electrical and Electronic Engineering Educators, N. Heraklio, Athens, 14121, Greece.Follow
M. Deepa, Department of Mathematics, Thiruvalluvar Government Arts College (Affli. to Periyar University), Rasipuram - 637 401, Namakkal Dt. Tamil Nadu, India.Follow
N. Nagajothi, Department of Mathematics, Thiruvalluvar Government Arts College (Affli. to Periyar University), Rasipuram - 637 401, Namakkal Dt. Tamil Nadu, India.Follow
V. Sadhasivam, Department of Mathematics, Thiruvalluvar Government Arts College (Affli. to Periyar University), Rasipuram - 637 401, Namakkal Dt. Tamil Nadu, IndiaFollow

Author Country (or Countries)

Greece.

Abstract

In this paper, we use the generalized Riccati technique and the integral averaging method to establish new oscillation criteria, for the solutions of a class of mixed fractional order nonlinear differential equations with the conformable fractional derivative and the Riemann-Liouville left-sided fractional derivative. We show the validity and effectiveness of our results by providing various examples.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140116

Recommended Citation

E. Chatzarakis, G.; Deepa, M.; Nagajothi, N.; and Sadhasivam, V. (2020) "Oscillatory Properties of a Certain Class of Mixed Fractional Differential Equations," Applied Mathematics & Information Sciences: Vol. 14: Iss. 1, Article 16.
DOI: http://dx.doi.org/10.18576/amis/140116
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss1/16