Geodesic
An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel
Fractional calculus and applied analysis, Tome 8 (2005) no. 4, pp. 343-360

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The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
Keywords: Operational Calculus, Derivative, Integral, Limit Condition, Fredholm Integral Equation, 44A40, 45B05 
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     author = {Wysocki, Hubert and Zellma, Marek},
     title = {An {Abstract} {Second} {Kind} {Fredholm} {Integral} {Equation} with {Degenerated} {Kernel}},
     journal = {Fractional calculus and applied analysis},
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Wysocki, Hubert; Zellma, Marek. An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel. Fractional calculus and applied analysis, Tome 8 (2005) no. 4, pp. 343-360. http://geodesic.mathdoc.fr/item/FCAA_2005_8_4_a0/