On a Volterra type fractional integro-differential equation with degenerate kernel

Abstract

It is considered the questions of one-valued solvability and numerical realization for a nonlinear Volterra type fractional integro-differential equation with degenerate kernel under initial value condition. By the aid of uncomplicated integral transforma- tion based on degenerate kernel and Dirichlet formula, this initial value problem is reduced to the nonlinear Volterra type fractional integral equation. It is proved the theorem of existence and uniqueness of the solution of given initial value problem in segment under consideration. For numerical realization of solution is applied the generalized spectral Jacobi-Galerkin method.

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DOI

10.1063/5.0057135

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