Aim of this work is to investigate existence and multiplicity positive solutions a fractional boundary value problem with an integral condition p-Laplacian operator. Necessary sufficient conditions are presented obtain results. Main tools Krasnoselskii, Schaefer Leggett-Williams fixed point theorems. Two examples given illustrate our

The current work concerns the existence and uniqueness results for a nonlinear Langevin equation involving two generalized proportional fractional operators with respect to another function. main are proved by means of Krasnoselskii?s fixed point theorem Banach contraction principle. An example is set forth make efficient our results.

The existence of mild solutions a totally nonlinear Caputo-Hadamard fractional differential equation isinvestigated using the Krasnoselskii-Burton fixed point theorem and some results are presented. Two exampleare given to illustrate our obtained results.

In the current paper, some existence and uniqueness results for a generalized proportional Hadamard fractional integral equation are established via Picard Picard-Krasnoselskii iteration methods together with Banach contraction principle. A simulative example was provided to verify applicability of theoretical findings.

In this work, we investigate the asymptotic stability of zero solution for Caputo-Hadamard fractional dynamic equations on a time scale. We will make use Krasnoselskii fixed point theorem in weighted Banach space to show new results.

where f ,g ∈ C([0, 1]× R+ × R+,R+), α[u] = ∫ 1 0 u(t)dA(t) and β[u] = ∫ 1 0 u(t)dB(t) are linear functionals on C[0, 1] given by Riemann-Stieltjes integrals and are not necessarily positive functionals; a, b, c, d are nonnegative constants with ρ := ac + ad + bc > 0. By using the Guo-Krasnoselskii fixed point theorem, some sufficient conditions are obtained for the existence of at least one or ...

In this paper, we employ the well-known Krasnoselskii fixed point theorem to study the existence and n-multiplicity of positive periodic solutions for the periodic impulsive functional differential equations with two parameters. The form including an impulsive term of the equations in this paper is rather general and incorporates as special cases various problems which have been studied extensi...