Representation of solutions of nonhomogeneous conformable fractional delay differential equations
CHAOS SOLITONS & FRACTALS, cilt.150, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 150
- Basım Tarihi: 2021
- Doi Numarası: 10.1016/j.chaos.2021.111190
- Dergi Adı: CHAOS SOLITONS & FRACTALS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
- Anahtar Kelimeler: Conformable derivative, Conformable delay , perturbation, Representation of solutions, Existence, Ulam-Hypers stability, LINEAR DISCRETE-SYSTEMS, FINITE-TIME STABILITY, CONSTANT-COEFFICIENTS
- Van Yüzüncü Yıl Üniversitesi Adresli: Hayır
Özet
A B S T R A C T This paper is about the conformable fractional delay equations. We offer a conformable delay perturbation of matrix exponential function to give the representation of solutions for linear nonhomogeneous conformable fractional delay differential equations. Lastly, the existence and uniqueness of solutions and Ulam-Hyers stability of the equations are proved. (c) 2021 Elsevier Ltd. All rights reserved.