EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

Khan, Hasib; TUNÇ, Cemil; CHEN, Wen; KHAN, Aziz

doi:10.11948/2018.1211

EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

Khan H., TUNÇ C., CHEN W., KHAN A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.8, no.4, pp.1211-1226, 2018 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 8 Issue: 4
Publication Date: 2018
Doi Number: 10.11948/2018.1211
Journal Name: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1211-1226
Van Yüzüncü Yıl University Affiliated: Yes

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.