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, cilt.8, sa.4, ss.1211-1226, 2018 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 8 Sayı: 4
Basım Tarihi: 2018
Doi Numarası: 10.11948/2018.1211
Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1211-1226
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.