Existence and Multiplicity of Solutions for Fractional ()-Kirchhoff-Type Equation

• J. Vanterler da C. Sousa ^[1] ; Kishor D. Kucche ^[2] ; Juan J. Nieto ^[3]
  1. [1] DEMATI-UEMA
  2. [2] Shivaji University
  3. [3] Universidade de Santiago de Compostela

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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  • In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of κ(ξ )-Kirchhoff-type equation utilizing a variational approach. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of space ψ-fractional Hμ,ν; ψ κ(ξ ) (). In this sense, we present a few special cases and remark on the outcomes explored.