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Multiterm boundary value problem of Caputo fractional differential equations of variable order      
Yazarlar
Zoubida Bouazza
Türkiye
Mohammed Said Souid
Türkiye
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Özet
In this manuscript, the existence, uniqueness, and stability of solutions to the multiterm boundary value problem of Caputo fractional differential equations of variable order are established. All results in this study are established with the help of the generalized intervals and piece-wise constant functions, we convert the Caputo fractional variable order to an equivalent standard Caputo of the fractional constant order. Further, two fixed point theorems due to Schauder and Banach are used, the Ulam–Hyers stability of the given Caputo variable order is examined, and finally, we construct an example to illustrate the validity of the observed results. In literature, the existence of solutions to the variable-order problems is rarely discussed. Therefore, investigating this interesting special research topic makes all our results novel and worthy.
Anahtar Kelimeler
Boundary value problem | Fixed point theorem | Fractional differential equations of variable order | Green function | Ulam–Hyers stability
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Advances in Difference Equations
Dergi ISSN 1687-1847
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili Türkçe
Basım Tarihi 08-2021
Cilt No 2021
Sayı 400
Sayfalar 1 / 17
Doi Numarası 10.1186/s13662-021-03553-z
Makale Linki http://dx.doi.org/10.1186/s13662-021-03553-z