Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives

Nontrivial solutions for a fractional boundary value problem

where α ∈ (, ], f : [, ]×R→R (R := (–∞, +∞)) is continuous. In view of a fractional differential equation’s modeling capabilities in engineering, science, economy and other fields, the last few decades have resulted in a rapid development of the theory of fractional differential equation; see the books [–]. This may explain the reason why the last few decades have witnessed an overgrowing...

Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q-Derivatives Equation

and Applied Analysis 3 The q-integral of a function f defined in the interval [0, b] is given by

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.

Multiple solutions for a perturbed Navier boundary value problem involving the $p$-biharmonic

The aim of this article is to establish the existence of at least three‎ ‎solutions for a perturbed $p$-biharmonic equation depending on two‎ ‎real parameters‎. ‎The approach is based on variational methods‎.

Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument