Transform of Ramadan Group to Solve Generalized Weakly Singular Volterra Integral Equations
DOI:
https://doi.org/10.31642/JoKMC/2018/130213Keywords:
Integral transforms, Transform of Ramadan Group (ToRG), Gamma functionAbstract
Many differential equations with beginning or boundary conditions represented as integral equations can be solved using the integral transform method. In this research. We investigated the basic characteristics of the Transform of Ramadan Group (ToRG) and applied it to solve generalized Volterra integral equations (WSVIEs) with weakly singular kernels integral of the type for a constant . Also, a connection between the ToRG and some useful integral transforms thereby making the equation simpler to solve theoretically and numerically. This improves the accuracy and efficiency of solving equations with weak singularities
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