General Delayed Perturbation of the Three-Parameter Mittag-Leffler Functions
Mathematical Methods in the Applied Sciences, cilt.49, sa.7, ss.7189-7207, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 7
- Basım Tarihi: 2026
- Doi Numarası: 10.1002/mma.70499
- Dergi Adı: Mathematical Methods in the Applied Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.7189-7207
- Anahtar Kelimeler: fractional linear equation, general delay perturbation, Mittag-Leffler function, Prabhakar fractional derivative, representation of solutions
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this paper, we define a general delayed perturbation of the three-parameter Mittag-Leffler type matrix function, which can be seen as a generalization of both the delayed perturbation of the two-parameter Mittag-Leffler type function and the delayed perturbation of the three-parameter Mittag-Leffler type function. We examine a couple of its properties in addition to identifying some of its relations with the existing Mittag-Leffler-type functions in the literature. We present an explicit formula by constructing on the general delayed perturbation of the three-parameter Mittag-Leffler type function as a solution to a linear fractional differential delayed equation with two distinct approaches.