Abstract
We propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations. The integral operator, which is used in our investigation, is of the local fractional integral operator type. Two illustrative examples show the accuracy and the reliability of the obtained results.
Highlights
Many initial- and boundary-value problems associated with ordinary differential equations (ODEs) and partial differential equations (PDEs) can be transformed into problems of solving the corresponding approximate integral equations
We propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations
This paper focuses on a new Neumann series method for solving the local fractional Fredholm and Volterra integral equation being
Summary
Many initial- and boundary-value problems associated with ordinary differential equations (ODEs) and partial differential equations (PDEs) can be transformed into problems of solving the corresponding approximate integral equations. The Neumann series method was applied to solve the integral equations [41, 42]. This paper focuses on a new Neumann series method for solving the local fractional Fredholm and Volterra integral equation being.
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