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Citation - Scopus: 4
Nonlocal Partial Fractional Evolution Equations With State Dependent Delay
(Universidad Catolica del Norte, 2023) Baghli-Bendimerad, S.; Benchohra, M.; Karapınar, E.; Lachachi-Merad, N.
In this work, we propose sufficient conditions guaranteeing an existence result of mild solutions by using the nonlinear Leray-Schauder alternative in Banach spaces combined with the semigroup theory for the class of Caputo partial semilinear fractional evolution equations with finite state-dependent delay and nonlocal conditions. © (2023), (SciELO-Scientific Electronic Library Online). All Rights Reserved.
Citation - WoS: 3
Citation - Scopus: 5
Toward the Existence of Solutions of Fractional Sequential Differential Equations With Uncertainty
(Ieee, 2015) Ahmadian, Ali; Chan, Chee Seng; Baleanu, Dumitru; Salahshour, Soheil
The main study of this paper is focused on the solutions of a class of fuzzy sequential fractional differential equations in the form of (D-0(x)beta y)' (x) = b(x)y(x), where (D-0(x)beta y) (x) is the fuzzy Riemann-Liouville derivative of order beta is an element of(0, 1). On this subject, a new fuzzy complete metric space is introduced. Finally, we proof the existence and uniqueness of our solution using the contraction principle.

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