DELAYED FRACTIONAL DISCRETE SINE AND COSINE MATRIX FUNCTIONS AND THEIR APPLICATIONS TO LINEAR FRACTIONAL DELAYED DIFFERENCE OSCILLATING SYSTEMS
Rocky Mountain Journal of Mathematics, cilt.55, sa.5, ss.1195-1211, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 5
- Basım Tarihi: 2025
- Doi Numarası: 10.1216/rmj.2025.55.1195
- Dergi Adı: Rocky Mountain Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.1195-1211
- Anahtar Kelimeler: discrete delayed sine and cosine matrices, fractional delayed difference system, representation of solution
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
The fractional discrete retarded cosine and sine matrix functions are defined for the first time in the current paper, and some of their relations are discussed. The variation of constants technique is exploited to obtain an exact analytical form of a general solution to the Cauchy type problem for the linear Riemann–Liouville fractional discrete retarded difference system of order $1 < 2\alpha \leq 2$ with the noncommutative coefficient matrices. Novel special cases are theoretically presented. In addition, numerical and simulated examples are given to illustrate all of the obtained results.