In this paper, the method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution for a class of nonlinear fractional differential equations with non-monotone term. An example is also given to illuminate our results. 2000 MSC: 34B15 • 34B18

We present some results on the existence of bounded positive solutions to a class of nonlinear second order ordinary diferential equations by using the Schauder-Tikhonov fixed point theorem. An application to the existence of bounded positive solutions to certain quasilinear elliptic equations in two-dimensional exterior domains is also given.

In this paper, we study the existence and nonexistence of positive solutions a system Riemann–Liouville fractional differential equations with ϱ-Laplacian operators, supplemented coupled nonlocal boundary conditions containing Riemann–Stieltjes integrals, derivatives various orders, parameters. We apply Schauder fixed point theorem in proof result.

In this paper, we are going to investigate the existence and uniqueness of solutions a coupled system nonlinear fractional hybrid equations with nonseparated type integral boundary conditions. We use Banach’s Leray-Schauder alternative fixed point theorems obtain main results. Lastly, giving two examples show effectiveness

this paper is devoted to the study of establishing sufficient conditions forexistence and uniqueness of positive solution to a class ofnon-linear problems of fractional differential equations. the boundary conditionsinvolved riemann-liouville fractional order derivative and integral. further, the non-linear function $f$ containfractional order derivative which produce extra complexity. thank to...

We obtain existence and uniqueness results for the solutions of a system Caputo fractional differential equations which contain sequential derivatives, integral terms, two positive parameters, supplemented with general coupled Riemann–Stieltjes boundary conditions. The proofs our are based on Banach fixed point theorem Leray–Schauder alternative.

We examine the existence and multiplicity of positive solutions for a class nonlinear semipositone fractional differential equations involving integral boundary conditions. The results are obtained in terms different intervals parameters by means Leray-Schauder Guo-Krasnoselskii fixed point theorems. Examples included to verify our main results.

In this paper, we prove existence results for a Predator-prey system in a polluted environment. The existence result is proved by the Schauder fixed-point theorem. Moreover, we construct a combined finite volume finite element scheme to our model, we establish existence of discrete solutions to this scheme, and show that it converges to a weak solution. The convergence proof is based on derivin...