Bachar, Mostafa2021-11-012021-11-012019-03-05Bachar, M. (2019). Nonlinear Fredholm equations in modular function spaces. <i>Electronic Journal of Differential Equations, 2019</i>(36), pp. 1-9.1072-6691https://hdl.handle.net/10877/14745We investigate the existence of solutions in modular function spaces of the Fredholm integral equation Φ(θ) = g(θ) + ∫10 ƒ(θ, σ, Φ(σ)) dσ, where Φ(θ), g(θ) ∈ Lρ, θ ∈ [0, 1], ƒ : [0, 1] x [0, 1] x Lρ → ℝ. An application in the variable exponent Lebesgue spaces is derived under minimal assumptions on the problem data.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalElectrorheological fluidsFixed pointFredholm equationsModular function spacesVariable exponent spacesArticle