Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Mohammadi, HakimehScopus Q: search.filters.scopusQuartile.Q2

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  • Article
    Citation - WoS: 15
    Citation - Scopus: 14
    Criteria for Existence of Solutions for a Liouville-Caputo Boundary Value Problem Via Generalized Gronwall's Inequality
    (Springer, 2021) Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; Mohammadi, Hakimeh
    In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville-Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski's measure of noncompactness and Sadovskii's fixed point theorem are our tools to reach this aim. In the sequel, we discuss the continuous dependence of solutions on parameters by means of the generalized Gronwall inequality. Moreover, we consider an inclusion version of the given boundary problem in which we study its existence results by means of the endpoint theory. Finally, we prepare two simulative numerical examples to confirm the validity of the analytical findings.
  • Article
    Citation - WoS: 78
    Citation - Scopus: 97
    Some Existence Results for a Nonlinear Fractional Differential Equation on Partially Ordered Banach Spaces
    (Springeropen, 2013) Agarwal, Ravi P.; Mohammadi, Hakimeh; Rezapour, Shahram; Baleanu, Dumitru
    By using fixed point results on cones, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Examples are presented in order to illustrate the obtained results.