Mathematics

H. Khan, C. Tunç, Wen Chen, Aziz Khan

2018Journal of Applied Analysis and Computation

DOI: 10.11948/2018.1211

tlooto Summary

This article proves existence and uniqueness conditions for a class of hybrid fractional differential equations with p-Laplacian operator using topological degree theory and Leray Schauder-type fixed point theorem.

Abstract

In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.

Citation format

KHAN, H., et al. Existence theorems and hyers-ulam stability for a class of hybrid fractional differential equations with $p$-laplacian operator. Journal of Applied Analysis and Computation, 2018, 8: 1211–1226.