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

Sumati Kumari Panda, Thabet Abdeljawad and C. Ravichandran

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

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.

Keywords: 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 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303856

DOI: 10.1016/j.chaos.2019.109439

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