Novel fixed point approach to Atangana-Baleanu fractional and Lp-Fredholm integral equations

In this article, we introduce an extended F-metric and proved related fixed point results. Subsequently, we mainly focus on (a): Solution for the Atangana-Baleanu fractional integral of order ∝ of a function f(t) It∝sABζ(t)=1-∝B(∝)ζ(t)+∝B(∝)Γ(∝)∫0tζ(ρ)(t-ρ)∝-1dρ; where 0

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Veröffentlicht in:Alexandria engineering journal 2020-08, Vol.59 (4), p.1959-1970
Hauptverfasser: Panda, Sumati Kumari, Abdeljawad, Thabet, Ravichandran, C.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, we introduce an extended F-metric and proved related fixed point results. Subsequently, we mainly focus on (a): Solution for the Atangana-Baleanu fractional integral of order ∝ of a function f(t) It∝sABζ(t)=1-∝B(∝)ζ(t)+∝B(∝)Γ(∝)∫0tζ(ρ)(t-ρ)∝-1dρ; where 0
ISSN:1110-0168
2090-2670
DOI:10.1016/j.aej.2019.12.027