Abstract In this section, we prove that local minimizers of the functional $$\mathcal F_\Lambda $$ ℱ Λ do exist (Proposition 2.1) and give several important examples can be computed explicitly 2.10, Lemmas 2.15 2.16).

This work describes an eeort to model the radio-frequency curing of epoxy adhesives in bonding of composites. We present a model based on the three-dimensional heat equation which includes nonlinear heat generating terms. A constructive proof of existence and uniqueness of solutions to our governing equations is given, providing a framework for the development of a computational method. Further...

‎In this paper‎, ‎we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations‎. ‎By a priori estimates‎, ‎difference and variation techniques‎, ‎we establish the existence and uniqueness of weak solutions of this problem.

In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional Riemann-Liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-Lipschit...

In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides  the extension of  some previous results obtained in other studies. We give a illustrative e...

In this paper‎, ‎we study the existence of solutions for a‎ ‎ fractional boundary value problem‎. ‎By using critical point theory‎ ‎ and variational methods‎, ‎we give some new criteria to guarantee‎ ‎ that‎ ‎ the problems have at least one solution and infinitely many solutions.