EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN THE SENSE OF CAPUTO'S EXPONENTIAL FRACTIONAL DERIVATIVE

Chohri, Mohamed; Bouriah, Soufyane; Benchohra, Mouffak; GÜLYAZ ÖZYURT, SELMA

EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN THE SENSE OF CAPUTO'S EXPONENTIAL FRACTIONAL DERIVATIVE

Chohri M., Bouriah S., Benchohra M., GÜLYAZ ÖZYURT S.

Journal of Nonlinear and Convex Analysis, cilt.25, sa.7, ss.1583-1597, 2024 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 25 Sayı: 7
Basım Tarihi: 2024
Dergi Adı: Journal of Nonlinear and Convex Analysis
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Sayfa Sayıları: ss.1583-1597
Anahtar Kelimeler: Caputo's exponential fractional derivative, coincidence degree theory, existence, fractional integral, implicit fractional differential equations, periodic solutions
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In the present manuscript, we investigate a class of problem for nonlinear implicit fractional differential equations (NIFDE ) with Caputo's exponential fractional derivative using the coincidence degree theory. Two examples are constructed to make our main findings effective.