BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE ORDER
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.13, sa.3, ss.1053-1068, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 3
- Basım Tarihi: 2023
- Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.1053-1068
- Anahtar Kelimeler: Fractional differential equations of variable order, boundary value problem, fixed point theorem, Ulam-Hyers stability
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this work, we investigate the existence, uniqueness and the stability of solutions to the boundary value problem (BVP) of Caputo fractional differential equations of variable order by converting it into an equivalent standard Caputo BVP of the fractional constant order with the help of the generalized intervals and piecewise constant functions. The results obtained in this interesting study are novel and worthy based on the Krasnoselskii fixed point theorem and the Banach contraction principle. The Ulam-Hyers stability of the given variable-order Caputo fractional boundary value problem is established. A numerical examples is given at the end to support and validate the potentiality of our obtained results.