Method Development for Solving Fredholm Integral Equations of The Second Kind Based on The Mellin Multiplicative Convolution in The Class of Trigonometric-Logarithmic Functions

2021 ◽  
Author(s):  
Anatoly M. Makarov ◽  
Alexander S. Ermakov
Keyword(s):  
Integral Equations ◽  
Method Development ◽  
Fredholm Integral Equations ◽  
Multiplicative Convolution ◽  
Logarithmic Functions

scholarly journals Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type

2010 ◽  
Vol 2010 ◽  
pp. 1-16 ◽  
Author(s):  
K. Balachandran ◽  
J.-H. Kim
Keyword(s):  
Integral Equations ◽  
Existence And Uniqueness ◽  
Mixed Type ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Stochastic Integral ◽  
Sufficient Conditions ◽  
Fredholm Integral Equations ◽  
Equations Of Mixed Type ◽  
Stochastic Integral Equations

We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.

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