A PROBLEM WITH TERMINAL INTEGRAL CONDITION FOR ONE NONLINEAR FRACTIONAL-DIFFERENTIAL EQUATION WITH BI-ORDINAL HILFER–HADAMARD DERIVATIVE

The boundary-value problem with integral condition for a nonlinear fractional-differential equation with a generalized (bi-ordinal) Hilfer–Hadamard composite derivative is considered. The notion of the bi-ordinal Hilfer–Hadamard derivative is based on the interpolation concept using Hadamard and Caputo–Hadamard derivatives of different orders. We study existence of solution, uniqueness and stability in relation to this problem. Keywords: nonlinear fractional-differential equations, bi-ordinal Hilfer–Hadamard derivative, boundary value problem, integral condition, existence, uniqueness, stability.