Fredholm and Volterra nonlinear possibilistic integral equations

Sorin Gheorghe Gal, Ionut Tudor Iancu

Abstract


In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.

Keywords


Possibility measure; nonlinear possibilistic integral; Fredholm nonlinear possibilistic integral equation; Volterra nonlinear possibilistic integral equation; fixed point theorem; successive approximations

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2021.1.09

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