In this paper, we investigate positive solutions for boundary value problem of a fractional thermostat model with parameter. Under different conditions the function f , existence and nonexistence results are derived in terms values λ . The illustrated an example. Copyright © 2016 John Wiley & Sons, Ltd.

This work deals with a boundary value problem for nonlinear multi-point fractional differential equation on the infinite interval. By constructing proper function spaces and norm, we overcome difficulty following from noncompactness of $[0, \infty)$ . using Schauder fixed point theorem, show existence one solution suitable growth conditions imposed term.

In this paper, by using the Guo-Krasnoselskii theorem, we investigate existence and nonexistence of positive solutions a system integral equation with parameters which can be seen as an effective generalization various types systems boundary value problems for differential on continuous interval time scales or fractional equations. We give general approach to cover in unified way, avoids treating these case-by-case basis. Under some growth conditions imposed nonlinear term, obtain explicit...

We investigate the existence of positive solutions for a system fractional multi-point BVP with p-Laplacian operator. Our main tool is fixed point theorem due to Leggett-Williams. The result obtained in this paper corrects some mistakes (Al-Hossain Differ. Equ. Dyn. Syst., 2016, doi: 10.1007/s11590-013-0708-4 ) and essentially improves extends well-known results.

In this paper, we investigate the existence of positive solu tions for a class nonlinear semipositone nth-order boundary value problems. Our approach relies on Krasnosel’skii fixed point theorem. The result paper complement and extend previously known result.

Investigated here are interesting aspects of the positive solutions for two kinds m-point boundary value problems an increasing homeomorphism and homo-morphism on time scales. By using Avery-Peterson fixed point theorem, we obtain existence at least three these problems. The is that nonlinear term depends first-order delta-derivative explicitly.

In this paper, by means of the Avery-Peterson fixed point theorem, we establish existence result a multiple positive solution boundary value problem for nonlinear differential equation with Riemann-Liouville fractional order derivative. An example illustrating our main is given. Our results complement previous work in area problems equations (Goodrich Appl. Math. Lett. 23:1050-1055, 2010). MSC:26A33, 34B15.

We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such possess infinitely homoclinic solutions.