Approximating Solutions of Third-Order Nonlinear Hybrid Differential Equations via Dhage Iteration Principle

Document Type : Original Article

Authors

Abdelouaheb Ardjouni ¹

Ahcene Djoudi ²

¹ Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.

² Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Annaba University, P.O. Box 12, Annaba, 23000, Algeria.

10.22034/kjm.2019.97175

Abstract

We prove the existence and approximation of solutions of the initial value problems of nonlinear third-order hybrid differential equations. The main tool employed here is the Dhage iteration principle in a partially ordered normed linear space. An example is also given to illustrate the main results.

Keywords

Approximating solutions

initial value problems

Dhage iteration principle

hybrid fixed point theorem

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