Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 13Citation - Scopus: 15A Study on K-Generalized ?-Hilfer Fractional Differential Equations With Periodic Integral Conditions(Wiley, 2024) Bouriah, Soufyane; Benchohra, Mouffak; Lazreg, Jamal Eddine; Karapinar, Erdal; Salim, AbdelkrimThis paper deals with some existence and uniqueness results for a class of problems systems for nonlinear k-generalized psi-Hilfer fractional differential equations with periodic conditions. The arguments are based on Mawhins coincidence degree theory. Furthermore, an illustration is presented to demonstrate the plausibility of our results.Article Citation - WoS: 17Citation - Scopus: 19Regularity Results for Fractional Diffusion Equations Involving Fractional Derivative With Mittag-Leffler Kernel(Wiley, 2020) Baleanu, Dumitru; Duc Le Thi Minh; Tuan Nguyen Huy; Ngoc Tran Bao; Nguyen Huy, Tuan; Tran Bao, Ngoc; Bao, Ngoc Tran; Le Thi Minh, Duc; Minh, Duc Le Thi; Huy, Tuan NguyenThis paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag-Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is analyzed and considered. The fractional derivative with Mittag-Leffler kernel or also called Atangana and Baleanu fractional derivative in time is taken in the Caputo sense. We obtain results on the existence, uniqueness, and regularity of the solution.