Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Subject: search.filters.subject.Existence Of Solution

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  • Article
    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.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 3
    Nonlinear Fractional Differential Equations and Their Existence Via Fixed Point Theory Concerning To Hilfer Generalized Proportional Fractional Derivative
    (Amer inst Mathematical Sciences-aims, 2022) Ahmad, Abdulaziz Garba; Jarad, Fahd; Alsaadi, Ateq; Rashid, Saima
    This article adopts a class of nonlinear fractional differential equation associating Hilfer generalized proportional fractional (GPF) derivative with having boundary conditions, which amalgamates the Riemann-Liouville (RL) and Caputo-GPF derivative. Taking into consideration the weighted space continuous mappings, we first derive a corresponding integral for the specified boundary value problem. Also, we investigate the existence consequences for a certain problem with a new unified formulation considering the minimal suppositions on nonlinear mapping. Detailed developments hold in the analysis and are dependent on diverse tools involving Schauder's, Schaefer's and Kransnoselskii's fixed point theorems. Finally, we deliver two examples to check the efficiency of the proposed scheme.
  • Conference Object
    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.