GREEN FUNCTION'S PROPERTIES AND EXISTENCE THEOREMS FOR NONLINEAR SINGULAR-DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, vol.13, no.9, pp.2475-2487, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 9
- Publication Date: 2020
- Doi Number: 10.3934/dcdss.2020139
- Journal Name: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
- Page Numbers: pp.2475-2487
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
In this paper, we are dealing with singular fractional differential equations (DEs) having delay and U-p (p-Laplacian operator). In our problem, we Contemplate two fractional order differential operators that is Riemann-Liouville and Caputo's with fractional integral and fractional differential initial boundary conditions.The SFDE is given by