A Countable System of Fractional Inclusions with Periodic, Almost, and Antiperiodic Boundary Conditions. (14th June 2021)

• Record Type: Journal Article
• Authors: Salem, Ahmed; Al-Dosari, Aeshah
• Other Names: Silva Cristiana J. Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-06-14
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/6653106
• Languages: English
• ISSNs: 1076-2787

Abstract

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 D α ABC ν i t ∈ Y i t, ν i t i = 1 ∞ . The mappings y i t, ν i t i = 1 ∞ are proposed to be Lipschitz multivalued mappings. The results are explored according to boundary condition σ ν i 0 = γ ν i ρ, σ, γ ∈ ℝ . This type of condition is the generalization of periodic, almost, and antiperiodic types.