Operators of fractional integration and their applications
Applied Mathematics and Computation
On a fractional generalization of the free electron laser equation
Applied Mathematics and Computation
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Some properties of nonlinear Volterra-Stieltjes integral operators
Computers & Mathematics with Applications
Existence of solutions for a class of nonlinear Volterra singular integral equations
Computers & Mathematics with Applications
On solutions of an infinite system of singular integral equations
Mathematical and Computer Modelling: An International Journal
An existence theorem for a class of infinite systems of integral equations
Mathematical and Computer Modelling: An International Journal
Volterra-stieltjes integral operators
Mathematical and Computer Modelling: An International Journal
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Our study in this paper concerns the infinite systems of nonlinear integral equations of Volterra-Stieltjes type. We show that some assumptions imposed on terms of the mentioned systems guarantee the solvability of those systems in the space C(I,c"0) with I=[0,1] and c"0 being the classical sequence space. As a particular and very important case of the investigated systems of nonlinear Volterra-Stieltjes integral equations we obtain infinite systems of nonlinear integral equations of fractional orders. Thus, the approach applied in the paper enables us to obtain rather general results concerning the existence of solutions of infinite systems of nonlinear fractional integral equations.