scientific article; zbMATH DE number 927920

zbMath0867.49001MaRDI QIDQ4893593

Osama L. Moustafa, Wagdy Gomaa El-Sayed, Ahmed M. A. El-Sayed

Publication date: 13 July 1997

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zbMATH Keywords

fixed point theoremoperator equationfractional functional equationsmonotone \(L^ 1\)-solution

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Ordinary differential inclusions (34A60) General theory of functional-differential equations (34K05) General theory of functional equations and inequalities (39B05) Existence theories for free problems in one independent variable (49J05)

Related Items (8)

On the functional integral equations of mixed type and integro-differential equations of fractional orders ⋮ Solvability of mixed type operator equations ⋮ Unnamed Item ⋮ A nonlinear operator functional equation of Volterra type. ⋮ Set-valued integral equations of fractional-orders ⋮ On the existence of solutions of functional integral equation of Urysohn type ⋮ Laguerre polynomials of arbitrary (fractional) orders. ⋮ An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order

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