Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Fractional CalculusWoS Q: search.filters.wosQuartile.N/A

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  • Article
    Citation - Scopus: 1
    Study of Impulsive Problem with Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory
    (Kyungnam University Press, 2025) Dhandapani, Swathi; Umapathi, Karthik Raja; Mathuraiveeran, Jeyaraman; Shah, Kamal; Abdeljawad (Maraaba) T., Thabet; Jarad, Fahd; Abdeljawad, Thabet
    In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results. © 2025 Elsevier B.V., All rights reserved.
  • Book Part
    Citation - WoS: 25
    Citation - Scopus: 1
    New Treatise in Fractional Dynamics
    (Springer-verlag Berlin, 2012) Baleanu, Dumitru; Baleanu, Dumitru
    Fractional calculus becomes a powerful tool used to investigate complex phenomena from various fields of science and engineering. In this context, the researchers paid a lot of attention for the fractional dynamics. However, the fractional modeling is still at the beginning of its developing. The aim of this chapter is to present some new results in the area of fractional dynamics and its applications.