Unique Solvability of the Boundary-Value Problems for Nonlinear Fractional Functional Differential Equations

General exact solvability conditions for the initial value problems for linear fractional functional differential equations

“…The fractional differential equations (FDEs) get a significant interest in modern literature on differential equations and are represented by numerous papers. Here referred to a few of them only [1,2,3,4,5,6,7,8,9].…”

“…The main goal of our investigation is the exact conditions lookup of the unique solvability of the boundary value problem for the fractional functional differential equations (FFDEs). Some recent results [3,4,5,6,8] motivated us to continue in this direction.…”

Precise Conditions on the Unique Solvability of the Linear Fractional Functional Differential Equations Related to the ς-Nonpositive Operators

“…One can find sound investigations in this area in monographs [1][2][3][4][5]. Initial and boundary value problems for FFDEs are studied in [6][7][8][9]; also, there are many publications that studied the unique solvability conditions of the functional differential equations and their properties (see [10][11][12][13][14]). Also, the theory of FFDEs is often used in applied sciences.…”

On the Existence of a Positive Solution to a Boundary Value Problem for a Nonlinear Functional-Differential Equation of Fractional Order

“…[1][2][3][4]. Особенно большое внимание привлекли краевые задачи для дробных дифференциальных уравнений [5][6][7][8][9][10][11][12]. Как известно, задача решения краевых задач имеет первостепенное значение в различных областях прикладной математики.…”