In this work, it is proved the existence of at least three weak solutions can be obtained for a new class of nonlinear fractional boundary value systems by using variational methods combined with a critical point theory due to Bonano and Marano while two examples in R-3 and R-4 are given to illustrate our main results applications. (C) 2022 L&H Scientific Publishing, LLC. All rights reserved.

This paper deals with the study of a class of perturbed nonlinear fractional p-Laplacian differential systems, where by using the variational method, two control parameters together with recent three critical points theorem by Bonanno and Candito for differentiable functionals for perturbed systems, the existence of three weak solutions has been proved.

The existence of three solutions for perturbed systems of impulsive nonlinear fractional differential equations together with Lipschitz continuous nonlinear terms is discussed. The idea relies on variational methods. Moreover, an example is presented in order to summarize the feasibility and effectiveness of the main results.

In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extension of the previous works to Banach space.

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right hand side and variable parameters by using the sub-super solutions method. Our study is the second result of our previous once in (Math. Methods Appl. Sci. 41 (2018), 5203-5210).

A class of perturbed fractional nonlinear systems is studied. The dynamical system possesses two control parameters and a Lipschitz nonlinearity order of p - 1. The multiplicity of the weak solutions is proved by means of the variational method and by Ricceri critical points theorems. An illustrative example is analyzed in order to highlight the obtained result.

The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.