img
Modern technique to study Cauchy-type problem of fractional variable order differential equations with infinite delay via phase space      
Yazarlar
Marwa Benaouda
Université Ibn-Khaldoun Tiaret, Algeria
Souhila Sabit
Université Ibn-Khaldoun Tiaret, Algeria
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Mohammed Said Souid
Université Ibn-Khaldoun Tiaret, Algeria
Özet
In this paper, we use a novel approach to study the existence, uniqueness, and stability of solutions (EUSS) to a Cauchy-type problem of nonlinear fractional differential equations (FrDiEq) of variable order with infinite delay (CPNFDEVOID). Contrary to the techniques taken in the literature, which were centered on the usage of the concept of generalized intervals and the idea of piecewise constant functions, our approach is straightforward and based on a novel fractional operator that is more appropriate and demonstrates the solvability and stability of the main problem under less restrictive presumptions. The results are achieved in this paper by using Fixed Point Theory (FPT). The application, which includes an example and supporting images, concludes the paper.
Anahtar Kelimeler
Derivatives and integrals of variable-order | fixed point theorem | functional differential equations with infinite delay Ulam-Hyers stability
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Modern Physics Letters B
Dergi ISSN 0217-9849
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 04-2024
Sayı 1
Sayfalar 2450343 / 0
Doi Numarası 10.1142/S0217984924503433
Makale Linki http://dx.doi.org/10.1142/s0217984924503433