Coupled systems of fractional ∇-difference boundary value problems

Positive Solutions for Systems of Coupled Fractional Boundary Value Problems

We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions which contain some positive constants.

Nontrivial solutions for fractional q-difference boundary value problems

In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem (D q y)(x) = −f(x, y(x)), 0 < x < 1, y(0) = 0 = y(1), by applying a fixed point theorem in cones.

Solvability of Nonlocal Fractional Boundary Value Problems

Twin solutions to semipositone boundary value problems for fractional differential equations with coupled integral boundary conditions

This paper investigates the existence of at least two positive solutions for the following high-order fractional semipositone boundary value problem (SBVP, for short) with coupled integral boundary value conditions:  D0+u(t) + λf(t,u(t), v(t)) = 0, t ∈ (0, 1), D0+v(t) + λg(t,u(t), v(t)) = 0, t ∈ (0, 1), u(j)(0) = v(j)(0) = 0, j = 0, 1, 2, · · · ,n− 2, Dα−1 0+ u(1) = λ1 ∫η1 0 v(t)...

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...