Examining Nonlinear Fredholm Equations in Lebesgue Spaces with Variable Exponents
Copyright policy ) Mostafa Bachar; Mohamed Amine Khamsi; Osvaldo Mendez;
Examining Nonlinear Fredholm Equations in Lebesgue Spaces with Variable Exponents
We investigate the existence of solutions for the Fredholm integral equation Φ(ϑ)=G(ϑ,Φ(ϑ))+∫01F(ϑ,ζ,Φ(ζ))dζ, for ϑ∈[0,1], in the setting of the modular function spaces Lρ. We also derive an application of this research within the framework of variable exponent Lebesgue spaces Lp(·) subject to specific conditions imposed on the exponent function p(·) and the functions F and G.
- The University of Texas System United States
- King Saud University Saudi Arabia
- King’s University United States
fixed point, Fredholm equations, modular function spaces, variable exponent spaces
fixed point, Fredholm equations, modular function spaces, variable exponent spaces
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 4
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