Mizhda A. Headayat

A Quasilinearization–Fractional Spline Collocation Method for Nonlinear Fractional Volterra Integro-Differential Equations with Logarithmic Weakly Singular Kernels

We construct a collocation scheme for nonlinear fractional Volterra integro-differential equations whose Volterra term contains a logarithmic weak singularity. Quasilinearization is used to obtain a sequence of linear fractional problems, and each iterate is represented by a six-parameter fractional non-polynomial spli...