A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point method. (January 2020)

• Record Type: Journal Article
• Authors: Panda, Sumati Kumari; Abdeljawad, Thabet; Ravichandran, C.
• Is Part Of: Chaos, solitons and fractals. Volume 130(2020)
• Publication Date: 2020-01
• Subjects: Complex valued double controlled metric space -- Complex valued extended metric space -- Complex valued controlled metric space -- Riemann-Liouville integral -- Complex valued Atangana-Baleanu integral operator and telegraph equation; 26A33 -- 34A08 -- 34B24 -- 39A70 -- 47H10 -- 54H25; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.109439
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This paper involves complex valued versions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation. Under various suitable assumptions the results are established in the setting of complex valued double controlled metric space. Thereafter, by making consequent use of the fixed point method, short and simple proofs are obtained for solutions of Riemann-Liouville integral, complex valued Atangana-Baleanu integral operator and non-linear Telegraph equation.