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A Countable System of Fractional Inclusions with Periodic, Almost, and Antiperiodic Boundary Conditions

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  • Ahmed Salem
  • Aeshah Al-Dosari
  • Cristiana J. Silva

Abstract

This article is dedicated to the existence results of solutions for boundary value problems of inclusion type. We suggest the infinite countable system to fractional differential inclusions written by DαABCνit∈Yit,νiti=1∞. The mappings yit,νiti=1∞ are proposed to be Lipschitz multivalued mappings. The results are explored according to boundary condition σνi0=γνiÏ ,  σ,γ∈℠. This type of condition is the generalization of periodic, almost, and antiperiodic types.

Suggested Citation

  • Ahmed Salem & Aeshah Al-Dosari & Cristiana J. Silva, 2021. "A Countable System of Fractional Inclusions with Periodic, Almost, and Antiperiodic Boundary Conditions," Complexity, Hindawi, vol. 2021, pages 1-10, June.
    • Handle: RePEc:hin:complx:6653106
    DOI: 10.1155/2021/6653106
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    Cited by:

    1. Ahmed Salem & Kholoud N. Alharbi & Hashim M. Alshehri, 2022. "Fractional Evolution Equations with Infinite Time Delay in Abstract Phase Space," Mathematics, MDPI, vol. 10(8), pages 1-17, April.
    2. Ahmed Salem & Lamya Almaghamsi, 2023. "Solvability of Sequential Fractional Differential Equation at Resonance," Mathematics, MDPI, vol. 11(4), pages 1-18, February.

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