Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation

Periodic boundary value problems for nonlinear impulsive fractional differential equation

In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction principle.

existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

this paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. we show that it has at least one or two positive solutions. the main tool is krasnosel'skii fixed point theorem on cone and fixed point index theory.

ON A SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM FOR THE NONLINEAR mTH-ORDER DIFFERENTIAL EQUATION WITH DEVIATING ARGUMENTS

Sufficient conditions of solvability and unique solvability of the boundary value problem u(m)(t) = f ( t, u(τ11(t)), . . . , u(τ1k(t)), . . . , u(τm1(t)), . . . . . . , u(τmk(t)) ) , u(t) = 0, for t 6∈ [a, b], u(i−1)(a) = 0 (i = 1, . . . , m− 1), u(m−1)(b) = 0, are established, where τij : [a, b] → R (i = 1, . . . , m; j = 1, . . . , k) are measurable functions and the vector function f : ]a, ...