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The Existence of Positive Solutions to the Fractional Q-Differential Equations with Integral Boundary Conditions
(Taylor & Francis Inc, 2026) Afshari, Hojjat; Rasouli, Hasan; Ahmadkhanlu, Asghar; Karapinar, Erdal
In this research, we investigate the existence of positive solutions to the fractional q-differential equations under new specified boundary conditions. We employ the alpha-theta-contraction fixed point theorem to analyze our results. Additionally, several examples are provided to illustrate the main results.
Citation - WoS: 103
Citation - Scopus: 108
On Generalized Α - Ψ-Geraghty Contractions on b-metric Spaces
(Walter de Gruyter Gmbh, 2020) Afshari, Hojjat; Aydi, Hassen; Karapinar, Erdal
In this paper, we consider generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.